Practice Logarithm in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The logarithm \log_b(x) answers: "to what power must b be raised to produce x?" It is the inverse function of f(x) = b^x.
The exponent that produces a number. \log_2(8) = 3 because 2^3 = 8.
Example 1
easyEvaluate \log_2 32.
Example 2
mediumSolve \log_3(2x + 1) = 4.
Example 3
easyEvaluate \log_5 125.
Example 4
mediumSolve \log(x) + \log(x - 3) = 1 where \log denotes \log_{10}.
Example 5
hardSolve \log_2(x) + \log_2(x - 6) = 4.