Question

Найдите значение выраженияЛогорифм 96 по основанию 4 минус логарифм 1,5 по основанию 4

Answer 1

Log4 (96) - log4 (1.5) = log4(96/1.5) = log4(64) = 3

Ответ:3

Answer 2

Calculating the Logarithm Expression

To find the value of the expression logarithm of 96 to the base 4 minus the logarithm of 1.5 to the base 4, we can use the properties of logarithms.

The expression can be rewritten as: log₄96 - log₄1.5

Using the property of logarithms that states log_bM - log_bN = log_b(M/N), we can simplify the expression.

So, log₄96 - log₄1.5 = log₄(96/1.5)

Now, let's calculate the value of log₄(96/1.5).

Calculation

Using the property of logarithms, we have: log₄(96/1.5) = log₄(64)

So, the value of the expression logarithm of 96 to the base 4 minus the logarithm of 1.5 to the base 4 is log₄(64).

Final Answer

The value of the expression logarithm of 96 to the base 4 minus the logarithm of 1.5 to the base 4 is log₄(64).