Problem 19

Question

Write each equation in its equivalent logarithmic form. $$7^{y}=200$$

Step-by-Step Solution

Verified

Answer

The logarithmic form of the equation $7^{y}=200$ is $\log_{7}200=y$.

1Step 1: Identify the base, exponent and result

The base is 7 (as it is being raised to the power of y), y is the exponent (as it is the power that 7 is being raised to) and 200 is the result (as it is the result of raising 7 to the power of y).

2Step 2: Write the logarithmic form

Using the rule $\log_{a}c=b$, replace 'a' with the base, 'c' with the result and 'b' with the exponent. Therefore the logarithmic form of the given equation: $7^{y}=200$ is $\log_{7}200=y$.

Problem 19

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