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masya89 [10]
4 years ago
11

What is the solution of log4x − 1032 = 5?

Mathematics
1 answer:
Ket [755]4 years ago
7 0
Answer: x = 3.

Explanation:

The expression is miswritten.

I am going to try to show it correctly writen  using the math editor:

log_{(4x-10)}32 = 5

Just to be sure that it is understandable, the expression is read: logarithm base (4x - 10) of 32 equals 5.

To solve it, you take antilogarithm:

[4x - 10]^5 = 32

Now decompose 32 in 2^5

=> [4x - 10]^5 = 2^5

=> 4x - 10 = 2

=> 4x = 12

=> x = 12 / 4 = 3

Answer: x = 3
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