What is the answer to 10^{z/3}=7 ?

The answer to 10^{z/3}=7 is z=(3ln(7))/(ln(10))

Solve for z: 10^{z/3}=7

The solution is z=(3ln(7))/(ln(10))

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1 0^{\frac{z}{3}} = 7

z = \frac{3 ln ( 7 )}{ln ( 10 )}

Decimal Notation

z = 2.53529 \dots

Solution steps

1 0^{\frac{z}{3}} = 7

Apply exponent rules

\frac{z}{3} ln (10) = ln (7)

Solve

\frac{z}{3} ln (10) = ln (7) : z = \frac{3 ln ( 7 )}{ln ( 10 )}

z = \frac{3 ln ( 7 )}{ln ( 10 )}

64 = 3 2^{- x + 1}

e^{x^{2} - 21} = e^{4}

5 = 0.736 (1.10 2^{x})

8 (\frac{1}{16})^{- 3 x - 2} = 32

64 = 3 2^{- x + 5}

What is the answer to 10^{z/3}=7 ?
The answer to 10^{z/3}=7 is z=(3ln(7))/(ln(10))
Solve for z: 10^{z/3}=7
The solution is z=(3ln(7))/(ln(10))