What is the answer to 10=2^{t/3} ?

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

Solve for t: 10=2^{t/3}

The solution is t=(3ln(10))/(ln(2))

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10 = 2^{\frac{t}{3}}

t = \frac{3 ln ( 10 )}{ln ( 2 )}

Decimal Notation

t = 9.96578 \dots

Solution steps

10 = 2^{\frac{t}{3}}

Apply exponent rules

ln (10) = \frac{t}{3} ln (2)

Solve

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

t = \frac{3 ln ( 10 )}{ln ( 2 )}

2 = 1. 2^{x}

5^{5 x + 2} = 15

e^{4 - 4 x} = 3

e^{x} = \frac{5}{2}

\frac{e ^{x} + e ^{- x}}{e ^{x} + 1} = 4

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