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Solve. Write your answer as an integer or a fraction in simplest form. $\newline$ $1 = 6^x$ $\newline$ $x =$ ______

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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

1 = 6^x

\newline

x =

______

Recognize Rule: Recognize that any number raised to the power of $0$ is $1$ . So, we can write $1$ as $6^0$ .
Set Equation: Set the equation $6^x$ equal to $6^0$ since both are equal to $1$ . $\newline$ $6^x = 6^0$
Apply Exponent Rule: If the bases are the same, then the exponents must be equal. $\newline$ Therefore, $x$ must equal $0$ . $\newline$ $x = 0$

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\newline

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Question

g(t) = 3^t

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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

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\newline

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f(x) = 6^x

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f(x) = 6x

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

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