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

log_(4x)(4x)=(9)/(8)
Answer:

Write the log equation as an exponential equation. You do not need to solve for $\mathrm{x}$ . $\newline$ $\log _{4 x}(4 x)=\frac{9}{8}$ $\newline$ Answer:

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Quotient property of logarithms

Full solution

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

\mathrm{x}

.

\newline

\log _{4 x}(4 x)=\frac{9}{8}

\newline

Answer:

Understand basic logarithmic form: Understand the basic form of a logarithmic equation and how to convert it to an exponential equation. $\newline$ The basic form of a logarithmic equation is $\log_b(a) = c$ , which can be rewritten as an exponential equation $b^c = a$ . $\newline$ In our case, we have $\log_{(4x)}(4x) = \frac{9}{8}$ . To convert this to an exponential equation, we need to use the base of the logarithm $(4x)$ and raise it to the power of the right-hand side of the equation $\left(\frac{9}{8}\right)$ to get the argument of the logarithm $(4x)$ .
Convert to exponential equation: Convert the logarithmic equation to an exponential equation using the base and the argument. $\newline$ Using the base $(4x)$ and the right-hand side of the equation $\left(\frac{9}{8}\right)$ , we write the exponential equation as $(4x)^{\left(\frac{9}{8}\right)} = 4x$ .

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