Adaptive Practice
Exponential and Logarithmic
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Question 1 of 10
⏱ 0:30
Easy
If \( 2^x = 16 \), what is the value of \( x \)?
Easy
Find the value of \( \log_{10} 1000 \).
Medium
If \( \log_a 81 = 4 \), find the value of \( a \).
Easy
Simplify \( \log_2 8 + \log_2 4 \).
Medium
If \( e^{2x} = 7 \), find \( x \) in terms of natural logarithm.
Hard
Solve for \( x \): \( \log_3 (x^2 - 4) = 2 \).
Hard
Solve for \( x \): \( \log_3 (x^2 - 4) = 2 \).
Medium
If \( \log_5 x = 3 \), find \( \log_5 \sqrt{x} \).
Easy
Express \( \log_a b \) in terms of natural logarithms.
Hard
If \( 2^{x+1} = 3^{x-1} \), find \( x \).