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Answer:
x = 3
Step-by-step explanation:
Maybe you want the value of x such that ...
4(6^x) = 864
Dividing by 4 gives ...
6^x = 216
You may know that 216 = 6^3. Using that, we can equate exponents:
6^x = 6^3
x = 3
Alternatively, we can use logarithms to find x. Taking logs gives ...
x·log(6) = log(216)
x = log(216)/log(6) = 3