Questions: Convert to an exponential equation. z = logm R^3 The equivalent equation is □ (Type in exponential form.)

Convert to an exponential equation.
z = logm R^3

The equivalent equation is □
(Type in exponential form.)
Transcript text: Convert to an exponential equation. \[ z=\log _{m} R^{3} \] The equivalent equation is $\square$ (Type in exponential form.)
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Solution

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Convert the logarithmic equation \( z = \log_m R^3 \) to its exponential form.

Understand the logarithmic form

The logarithmic equation \( z = \log_m R^3 \) means that \( z \) is the exponent to which the base \( m \) must be raised to obtain \( R^3 \).

Convert to exponential form

Using the definition of logarithms, the exponential form of \( z = \log_m R^3 \) is:
\[ m^z = R^3 \]

The equivalent exponential equation is \\(\boxed{m^z = R^3}\\).

The equivalent exponential equation is \\(\boxed{m^z = R^3}\\).

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