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

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

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

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

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

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

Decimal Notation

z = 1.76413 \dots

Solution steps

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

Apply exponent rules

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

Solve

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

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

(\frac{1}{5})^{2 x} = 625

8 1^{4 x - 1} = 9^{x + 5}

2^{x} \cdot 8^{1 - x} = \frac{1}{4}

(\frac{2}{3})^{x} = \frac{27}{8}

1 0^{- x} = 4

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