answersLogoWhite

0


Best Answer

If we take the logarithm of both sides, then it is log(4^x) = log(128). Then from logarithm rules, this can be changed to: x*log(4) = log(128), then x = log(128)/log(4). You can punch this into a calculator and get the answer, but what if we use log base 2, we don't need a calculator. So log2(4) = 2, because 2² = 4. And log2(128) = 7, because 2^7 = 128. So we have x = 7/2 = 3.5, then you can check your answer: 4^3.5 = (4^3)*(4^.5). So 4 cubed = 64, and 4 raised to the 1/2 power is the square root of 4, which is 2. So 64 times 2 = 128.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar
User Avatar

Anonymous

Lvl 1
4y ago
yeah why couldnt you have just done that
User Avatar

Anonymous

Lvl 1
4y ago
thanks for this tho
More answers
User Avatar

Liam O'Leary

Lvl 2
3mo ago

3-2

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you solve 4 to the power of x equals 128?
Write your answer...
Submit
Still have questions?
magnify glass
imp