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

log_(2x)(2)=(5)/(3)
Answer:

Write the log equation as an exponential equation. You do not need to solve for $\mathrm{x}$ . $\newline$ $\log _{2 x}(2)=\frac{5}{3}$ $\newline$ 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 _{2 x}(2)=\frac{5}{3}

\newline

Answer:

Define Logarithmic Equation: The logarithmic equation given is $\log_{2x}(2) = \frac{5}{3}$ . To convert a logarithmic equation to an exponential equation, we use the definition of a logarithm. The definition states that if $\log_b(a) = c$ , then $b^c = a$ . Here, $b$ is the base of the logarithm, $a$ is the argument, and $c$ is the logarithm result.
Convert to Exponential Form: Using the definition of the logarithm, we can rewrite the given equation $\log_{2x}(2) = \frac{5}{3}$ as an exponential equation. The base is $2x$ , the exponent will be the result of the logarithm which is $\frac{5}{3}$ , and the result will be the argument of the logarithm which is $2$ . Therefore, the exponential form is $(2x)^{\frac{5}{3}} = 2$ .

More problems from Quotient property of logarithms

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x

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\newline

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Question

g(t) = 3^t

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g(t)

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Question

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f(x) = 6x

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f(x) = 6^x

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

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

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