Question

Log9log4 64 решите задачу​

Answer 1

log₉log₄ 64 =?

log₄ 64 = 3      (т.к. 4³= 64)

log₉3 = 1/2     (т.к.9¹/² = √9 = 3)

Ответ: 1/2

Answer 2

To solve the given problem, we need to find the value of log9(log4(64)).

First, let's simplify the expression step by step:

1. Start with the innermost logarithm: log4(64). Recall that log_b(x) represents the logarithm of x with base b. So, log4(64) means "logarithm of 64 with base 4."

   4^3 = 64 (since 4 * 4 * 4 = 64), so log4(64) = 3.

2. Now, we have log9(3) remaining. This means "logarithm of 3 with base 9."

   Since 9^1 = 9 and 9^2 = 81, log9(3) would lie between 1 and 2.

Thus, the solution to the expression log9(log4(64)) is approximately between 1 and 2. We can't determine the exact value without a calculator, but we know it lies between the logarithms of 9 with base 1 and base 2.