What is the answer to (16+(0.878)/(26))^{3t}=30 ?

The answer to (16+(0.878)/(26))^{3t}=30 is t=(ln(30))/(3ln(\frac{416.878){26})}

Solve for t: (16+(0.878)/(26))^{3t}=30

The solution is t=(ln(30))/(3ln(\frac{416.878){26})}

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(16 + \frac{0.878}{26})^{3 t} = 30

t = \frac{ln ( 30 )}{3 ln ( \frac{416.878}{26} )}

Decimal Notation

t = 0.40859 \dots

Solution steps

(16 + \frac{0.878}{26})^{3 t} = 30

Apply exponent rules

3 t ln (16 + \frac{0.878}{26}) = ln (30)

Solve

3 t ln (16 + \frac{0.878}{26}) = ln (30) : t = \frac{ln ( 30 )}{3 ln ( \frac{416.878}{26} )}

t = \frac{ln ( 30 )}{3 ln ( \frac{416.878}{26} )}

2^{5 x} = 10

4^{1 - x} = 3^{2 x + 4}

2 7^{3 x + 5} = 8 1^{4 x + 1}

4 = 102 4^{x}

0.2 5^{2 x - 1} = 8^{x + 3}

What is the answer to (16+(0.878)/(26))^{3t}=30 ?
The answer to (16+(0.878)/(26))^{3t}=30 is t=(ln(30))/(3ln(\frac{416.878){26})}
Solve for t: (16+(0.878)/(26))^{3t}=30
The solution is t=(ln(30))/(3ln(\frac{416.878){26})}