Exponential equations generally have the unknown variable as the power. The
following are examples of exponential equations:
You should already be familiar with exponential notation. Solving exponential
equations is simple, if we remember how to apply the laws of exponentials.
Investigation : solving exponential equations
Solve the following
equations by completing the table:
-3
-2
-1
0
1
2
3
-3
-2
-1
0
1
2
3
-3
-2
-1
0
1
2
3
Algebraic solution
Equality for Exponential Functions
If
is a positive number such
that
, (except when
) then:
if and only if:
(If
, then
and
can differ)
This means that if we can write all terms in an equation with the same base, we
can solve the exponential equations by equating the indices. For example takethe equation
. This can be written as:
Since the bases are equal (to 3), we know that the exponents must also be equal.
Therefore we can write:
This gives:
Method: solving exponential equations
Try to write all terms with the same base.
Equate the exponents of the bases of the left and right hand side of the equation.
Solve the equation obtained in the previous step.
Check the solutions
Investigation : exponential numbers
Write the following with the same
base. The base is the first in the list. For example, in the list 2, 4, 8, thebase is two and we can write 4 as
.
2,4,8,16,32,64,128,512,1024
3,9,27,81,243
5,25,125,625
13,169
,
,
,
Solve for
:
All terms are written with the same base.
Since both sides are equal, the answer is correct.
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities.
before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
continue..
sometimes due to these physical problems..the diagnosis may be misdiagnosed.
treatment for autism.
well it depends on the severity.
since autistic kids have problems in communicating and adopting to the environment.. it's best to expose the child in situations where the child
Jharna
child interact with other kids under doc supervision.
play therapy.
speech therapy.
Engaging in different activities that activate most parts of the brain.. like drawing..painting. matching color board game.
string and beads game.
the more you interact with the child the more effective
Jharna
results you'll get..
please consult a therapist to know what suits best on your child.
and last as a parent. I know sometimes it's overwhelming to guide a special kid.
but trust the process and be strong and patient as a parent.
Jharna
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