Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places.
- 198+4 log x=170

Question

Use a change of base formula to evaluate the given logarithm. Approximate to three decimal places. - 198+4 log x=170 A) -10⁷ B) 10^-7 C) no solution D) -70

Quizplus · Accepted Answer

Change of base formula: log_ab = log_cb / log_calog₁₀(198+4 log x) = 170log₁₀(198+4 log x) = log₁₀(10¹⁷⁰)198+4 log x = 10¹⁷⁰4 log x = 10¹⁷⁰ - 198log x = (10¹⁷⁰ - 198) / 4x = 10^{((10¹⁷⁰ - 198) / 4)}x ≈ 10^-7

Use a Change of Base Formula to Evaluate the Given