What is the answer to log_{10}((x+1)^3)=2 ?

The answer to log_{10}((x+1)^3)=2 is x=10^{2/3}-1

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log_{10}((x+1)^3)=2

lo g_{10} ((x + 1)^{3}) = 2

x = 1 0^{\frac{2}{3}} - 1

Decimal Notation

x = 3.64158 \dots

Solution steps

lo g_{10} ((x + 1)^{3}) = 2

Apply log rules

x + 1 = 1 0^{\frac{2}{3}}

Solve

x + 1 = 1 0^{\frac{2}{3}} : x = 1 0^{\frac{2}{3}} - 1

x = 1 0^{\frac{2}{3}} - 1

Verify Solutions:

x = 1 0^{\frac{2}{3}} - 1

True

The solution is

x = 1 0^{\frac{2}{3}} - 1

lo g_{x} (\frac{1}{100}) = 2

lo g_{b} (16) = 2

5 - 3 ln (4 x) = - 10

lo g_{10} (6 n - 4) = 2

lo g_{2} (x) = 2 + lo g_{2} (15)

What is the answer to log_{10}((x+1)^3)=2 ?
The answer to log_{10}((x+1)^3)=2 is x=10^{2/3}-1
Solve for x: log_{10}((x+1)^3)=2
The solution is x=10^{2/3}-1