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vladimir2022 [97]
3 years ago
14

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

Mathematics
2 answers:
posledela3 years ago
7 0
The correct answer is
 <span>x = log base 10 of 64, all over log base 10 of 4</span>
zysi [14]3 years ago
3 0
4^{x} = 64

By taking <span>logarithmic of base 10

∴ </span><span>log 4^{x} = log 64

∴ x log 4 = log 64

∴ x =  \frac{log \ 64}{log \ 4}
note: we don't need to write the base in case of the base =10

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>

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