Rewrite Problems 11-20 in equivalent logarithmic form. 0.0001 = 10^-4 10,000 = 1

Question

Rewrite Problems 11-20 in equivalent logarithmic form. 0.0001 = 10^-4 10,000 = 10^4 8 = 4^3/2 9 = 27^2/3 1/2 = 32^1/5 1/8 = 2^-3 7 = 49^1/2 4 = 64^1/3 (2/3)^3 = 8/27 (s/2)^-2 = 0.16 In Problems 21-40, simplify each expression using Theorem 2. log_16 1 log_25 1 log_0.5 0.5 log_7 7 log_e e^4 log_10 10^5 log_10 0.01 log_10 100 log_3 27 log_4 256 log_1/2 2 log_1/5 1/25 e^log_e 5 e^log_e 10 log_5^3 Squareroot 5 log_2 Squareroot 8 e^log_e Squareroot x e^log_e (x - 1) e^2 log_e x 10^-3 log_10 u In Problems 41-48. evaluate to four decimal places. log 49, 236 log 691, 450

Explanation / Answer

f(x) = eloge(x-1)

taking log both side with base e

loge(f(x)) = loge eloge(x-1)

Now we know that

loge e = 1

So

loge(f(x)) = = loge(x - 1)

f(x) = x - 1

Let me know if you have any doubt.

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