Math  /  Algebra

QuestionRewrite the equation in logarithmic form. (25)m=n\left(\frac{2}{5}\right)^{m}=n \square Additional Materials

Studdy Solution
Rewrite the exponential equation (25)m=n\left(\frac{2}{5}\right)^{m}=n in logarithmic form.
The logarithmic form of the equation is:
log25(n)=m\log_{\frac{2}{5}}(n) = m
This expresses that mm is the power to which the base 25\frac{2}{5} must be raised to obtain nn.

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