What is the answer to log_{10}(x)(1/16)=-4 ?

The answer to log_{10}(x)(1/16)=-4 is x= 1/(10^{64)}

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log_{10}(x)(1/16)=-4

lo g_{10} (x) (\frac{1}{16}) = - 4

x = \frac{1}{1 0 ^{64}}

Decimal Notation

x = 1.0 E - 64

Solution steps

lo g_{10} (x) (\frac{1}{16}) = - 4

Multiply both sides by

16

lo g_{10} (x) = - 64

Apply log rules

x = \frac{1}{1 0 ^{64}}

Verify Solutions:

x = \frac{1}{1 0 ^{64}}

True

The solution is

x = \frac{1}{1 0 ^{64}}

x, ln (x y) = c

ln (x) + ln (3 x) = 14

lo g_{3} (x + 2) = 1 + lo g_{3} (x)

2 ln (y) = ln (y^{2})

x, lo g_{10} (x) = lo g_{10} (y)

What is the answer to log_{10}(x)(1/16)=-4 ?
The answer to log_{10}(x)(1/16)=-4 is x= 1/(10^{64)}
Solve for x: log_{10}(x)(1/16)=-4
The solution is x= 1/(10^{64)}