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Solve. Write your answer as an integer or a fraction in simplest form. $\newline$ $8 = 2^x$ $\newline$ $x =$ ______

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Solve exponential equations by rewriting the base

Full solution

Q. Solve. Write your answer as an integer or a fraction in simplest form.

\newline

8 = 2^x

\newline

x =

______

Identify Power of $2$ : Write $8$ as a power of $2$ , since $8$ is $2$ cubed, we can write $8$ as $2^3$ .
Set Up Equation: Now we have $2^3 = 2^x$ , since the bases are the same, the exponents must be equal.
Determine Exponent Value: Therefore, $x$ must be $3$ .

More problems from Solve exponential equations by rewriting the base

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Steven opened a savings account and deposited

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\newline

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Question

g(t) = 3^t

change over the interval from

t = 3

t = 4

\newline

\newline

g(t)

3

\newline

g(t)

3

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g(t)

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g(t)

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Question

f(x)

6

over every unit interval in

x

f(0) = 0

\newline

Which could be a function rule for

f(x)

\newline

\newline

f(x) = 6^x

\newline

f(x) = 6x

\newline

f(x) = \frac{1}{6^x}

\newline

f(x) = \frac{x}{6}

Posted 3 months ago