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Write the log equation as an exponential equation. You do not need to solve for
x.

log_((x+6))(5)=x
Answer:

Write the log equation as an exponential equation. You do not need to solve for $\mathrm{x}$ . $\newline$ $\log _{(x+6)}(5)=x$ $\newline$ Answer:

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Convert between exponential and logarithmic form

Full solution

Q. Write the log equation as an exponential equation. You do not need to solve for

\mathrm{x}

.

\newline

\log _{(x+6)}(5)=x

\newline

Answer:

Define Logarithmic Equation: To convert a logarithmic equation to an exponential equation, we use the definition of a logarithm. The logarithmic equation $\log_b(a) = c$ can be rewritten as $b^c = a$ . Here, $b$ is the base of the logarithm, $a$ is the argument, and $c$ is the value of the logarithm.
Identify Base, Argument, Value: Applying this definition to the given logarithmic equation $\log_{(x+6)}(5)=x$ , we identify the base as $(x+6)$ , the argument as $5$ , and the value of the logarithm as $x$ .
Rewrite in Exponential Form: Rewriting the equation in exponential form, we get $(x+6)^x = 5$ . This is the exponential equation equivalent to the given logarithmic equation.

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