What is the answer to 10^{(2x)/3}=15 ?

The answer to 10^{(2x)/3}=15 is x=(3ln(15))/(2ln(10))

Solve for x: 10^{(2x)/3}=15

The solution is x=(3ln(15))/(2ln(10))

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1 0^{\frac{2 x}{3}} = 15

x = \frac{3 ln ( 15 )}{2 ln ( 10 )}

Decimal Notation

x = 1.76413 \dots

Solution steps

1 0^{\frac{2 x}{3}} = 15

Apply exponent rules

\frac{2 x}{3} ln (10) = ln (15)

Solve

\frac{2 x}{3} ln (10) = ln (15) : x = \frac{3 ln ( 15 )}{2 ln ( 10 )}

x = \frac{3 ln ( 15 )}{2 ln ( 10 )}

3^{5 x (- 10)} = 1

x, 2 e^{x} + 3 e^{- 3 x} = 0

e^{2 t + 2} = 2 e^{2 - t}

2 e^{3 x - 2} + 4 = 16

0 = 2 e^{x} - e^{- 3 x}

What is the answer to 10^{(2x)/3}=15 ?
The answer to 10^{(2x)/3}=15 is x=(3ln(15))/(2ln(10))
Solve for x: 10^{(2x)/3}=15
The solution is x=(3ln(15))/(2ln(10))