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Solve. Write your answer as an integer or a fraction in simplest form. $\newline$ $8^x = 1$ $\newline$ $x =$ ______

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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^x = 1

\newline

x =

______

Write as power of $8$ : Write $1$ as a power of $8$ . $\newline$ Since any number to the power of $0$ is $1$ , we can write $1$ as $8^0$ .
Set equation equal: Set the equation $8^x$ equal to $8^0$ . $\newline$ Since the bases are the same, the exponents must be equal. $\newline$ So, $x$ must equal $0$ .

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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5

\newline

Use the formula

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A

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P

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r

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n

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The town of Valley View conducted a census this year, which showed that it has a population of

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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 2 months ago