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Solve the exponential equation $3^{\frac{x}{2}}=9$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=4$
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Step-by-step Solution

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Learn how to solve exponential equations problems step by step online. Solve the exponential equation 3^(x/2)=9. Rewrite the number 9 as a power with base 3 so that we have exponentials with the same base on both sides of the equation. If the bases are the same, then the exponents must be equal to each other. Multiply both sides of the equation by 2. Multiply 2 times 2.

Final answer to the problem

$x=4$

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Function Plot

Plotting: $3^{\frac{x}{2}}-9$

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Answer Assistant

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Got a different answer? Verify it!

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Similar Problems Solved

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$2^{6x+7}=\left(\frac{1}{8}\right)^{1-5x}$

Main Topic: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.

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