write 4x=1024 in logarithmic form

4 x = 1024 l o g 4 ​ 4 x = l o g 4 ​ 1024 x l o g 4 ​ 4 = l o g 4 ​ 1024 x = l o g 4 ​ 1024

Answered by Anonymous | 2024-06-10

The equation 4x = 1024 can be written in logarithmic form by identifying the base, the exponent, and the result.
The base is the number that is raised to a power to produce a given number. In this case, 4 is the base, x is the exponent, and 1024 is the result. Therefore, the equation in logarithmic form would be log41024 = x.
This means that x is the power to which the base 4 must be raised to give the result of 1024. Using properties of logarithms, we know that since 45 = 1024, then log41024 = 5.

Answered by LakeBell | 2024-06-24

The equation 4 x = 1024 can be rewritten in logarithmic form as x = lo g 4 ​ ( 1024 ) . This indicates that the exponent, x, is the logarithm of 1024 to the base 4. Essentially, it answers the question of what power 4 must be raised to in order to produce 1024.
;

Answered by Anonymous | 2024-12-26