Question

Log4 256 решите кто может

Answer 1

256=4*4*4*4=4⁴
(Сразу за логарифмом основание, в скобках-подлогарифмическое выражение)
log4 (4⁴)=4log4 (4)=4

Answer 2

Log(4)256=4, т.к. 4^4=256

Answer 3

Log4 256

The expression "Log4 256" can be solved using the logarithm base 4. The logarithm of a number to a specific base is the exponent to which the base must be raised to produce that number. In this case, the logarithm base 4 of 256 can be calculated as follows:

Logarithm Base 4 of 256: The logarithm base 4 of 256 can be calculated as: ```math log4(256) = x ``` To solve for x, we can use the property of logarithms: ```math log_b(a) = c => b^c = a ``` So, in this case: ```math 4^x = 256 ``` To find the value of x, we can express 256 as a power of 4: ```math 256 = 4^4 ``` Therefore: ```math log4(256) = 4 ``` Answer: The logarithm base 4 of 256 is 4.