객관식
Change the following logarithmic expression to its equivalent exponential form.
499
views
6. Exponential and Logarithmic Functions
Introduction to Logarithms
객관식
Evaluate the given logarithm.
A
1.79
B
7
C
1
D
0.3
검증된 단계별 안내1
Understand the problem: We need to evaluate the logarithm \( \log_7 7^{0.3} \). This is a logarithmic expression where the base is 7 and the argument is \( 7^{0.3} \).
Recall the logarithmic identity: \( \log_b b^x = x \). This identity states that the logarithm of a base raised to an exponent is equal to the exponent itself.
Apply the identity: In our problem, the base \( b \) is 7, and the exponent \( x \) is 0.3. Therefore, using the identity, \( \log_7 7^{0.3} = 0.3 \).
Verify the understanding: The logarithm \( \log_7 7^{0.3} \) simplifies directly to 0.3 because the base and the argument are the same, and the exponent is 0.3.
Conclude the solution: The value of the logarithm \( \log_7 7^{0.3} \) is 0.3, as expected from the properties of logarithms.
관련 영상
관련 실천
