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Popular >

simplify log_{10}(4)(32)

Solution

simplify

lo g_{10} (4) (32)

Solution

64 lo g_{10} (2)

+1

Decimal Notation

19.26591 \dots

Solution steps

lo g_{10} (4) (32)

Apply rule:

(a) = a

(32) = 32

= lo g_{10} (4) \cdot 32

Factor the number:

4 = 2^{2}

= lo g_{10} (2^{2}) \cdot 32

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{10} (2^{2}) = 2 lo g_{10} (2)

= 2 lo g_{10} (2) \cdot 32

Multiply the numbers:

2 \cdot 32 = 64

= 64 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is log_{10}(4)(32) ?
The solution to log_{10}(4)(32) is 64log_{10}(2)