Problem

QUESTION 9
- Which of the following is equivalent to $10^{z}=0.6$ ?
$\log _{0.6}(10)=z$
$\log _{z}(0.6)=10$
$\log (0.6)=z$
$\log _{10}(z)=0.6$

Answer

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Answer

Final Answer: $\boxed{\log _{10}(0.6)=z}$

Steps

Step 1 :The question is asking for the equivalent logarithmic form of the exponential equation $10^{z}=0.6$. The general form of a logarithm is $\log_b(a) = c$, which is equivalent to $b^c = a$. Therefore, we need to find the form that matches this pattern.

Step 2 :The equivalent logarithmic form of the exponential equation $10^{z}=0.6$ is $\log _{10}(0.6)=z$.

Step 3 :Final Answer: $\boxed{\log _{10}(0.6)=z}$

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