What is the answer to log_{10}((800)/x)=0.3 ?

The answer to log_{10}((800)/x)=0.3 is x=(800)/(10^{0.3)}

Solve for x: log_{10}((800)/x)=0.3

The solution is x=(800)/(10^{0.3)}

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lo g_{10} (\frac{800}{x}) = 0.3

x = \frac{800}{1 0 ^{0.3}}

Decimal Notation

x = 400.94978 \dots

Solution steps

lo g_{10} (\frac{800}{x}) = 0.3

Apply log rules

\frac{800}{x} = 1 0^{0.3}

Multiply both sides by

x

\frac{800}{x} x = 1 0^{0.3} x

Simplify

800 = 1 0^{0.3} x

Solve

800 = 1 0^{0.3} x : x = \frac{800}{1 0 ^{0.3}}

x = \frac{800}{1 0 ^{0.3}}

Verify Solutions:

x = \frac{800}{1 0 ^{0.3}}

True

The solution is

x = \frac{800}{1 0 ^{0.3}}

lo g_{2} (n + 1) = 10

1 = ln (ln (x))

5 lo g_{10} (x) = 2 lo g_{10} (x)

2 ln (x + 1) + 3 = 0

lo g_{10} (x^{2}) = 5

What is the answer to log_{10}((800)/x)=0.3 ?
The answer to log_{10}((800)/x)=0.3 is x=(800)/(10^{0.3)}
Solve for x: log_{10}((800)/x)=0.3
The solution is x=(800)/(10^{0.3)}