What is the answer to 10^{x/3}=20 ?

The answer to 10^{x/3}=20 is x=(3ln(20))/(ln(10))

Solve for x: 10^{x/3}=20

The solution is x=(3ln(20))/(ln(10))

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1 0^{\frac{x}{3}} = 20

x = \frac{3 ln ( 20 )}{ln ( 10 )}

Decimal Notation

x = 3.90308 \dots

Solution steps

1 0^{\frac{x}{3}} = 20

Apply exponent rules

\frac{x}{3} ln (10) = ln (20)

Solve

\frac{x}{3} ln (10) = ln (20) : x = \frac{3 ln ( 20 )}{ln ( 10 )}

x = \frac{3 ln ( 20 )}{ln ( 10 )}

3^{x + 1} + 3^{x + 2} + 3^{x + 3} = 351

70 = 16 + 72 \cdot e^{- 175 t}

1 0^{3 x - 2} = 13

2 e^{2 x} = 1

2 7^{x} = \frac{9 ^{2 x - 1}}{3 ^{x}}

What is the answer to 10^{x/3}=20 ?
The answer to 10^{x/3}=20 is x=(3ln(20))/(ln(10))
Solve for x: 10^{x/3}=20
The solution is x=(3ln(20))/(ln(10))