Find x if log5(x-7) = 1
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Correct Answer: Option C
Explanation:
To find \( x \) in the equation \( \log_5(x - 7) = 1 \), we can solve it as follows:
1. Convert the logarithmic equation to its exponential form:
\[
\log_5(x - 7) = 1 \implies x - 7 = 5^1
\]
2. Simplify the equation:
\[
x - 7 = 5
\]
3. Solve for \( x \):
\[
x = 5 + 7 = 12
\]
Thus, the value of \( x \) is 12.
So, the correct answer is:
C. 12
To find \( x \) in the equation \( \log_5(x - 7) = 1 \), we can solve it as follows:
1. Convert the logarithmic equation to its exponential form:
\[
\log_5(x - 7) = 1 \implies x - 7 = 5^1
\]
2. Simplify the equation:
\[
x - 7 = 5
\]
3. Solve for \( x \):
\[
x = 5 + 7 = 12
\]
Thus, the value of \( x \) is 12.
So, the correct answer is:
C. 12