What is the answer to 230*1.015^t=325 ?

The answer to 230*1.015^t=325 is t=(ln(65/46))/(ln(1.015))

Solve for t: 230*1.015^t=325

The solution is t=(ln(65/46))/(ln(1.015))

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230 \cdot 1.01 5^{t} = 325

t = \frac{ln ( \frac{65}{46} )}{ln ( 1.015 )}

Decimal Notation

t = 23.22216 \dots

Solution steps

230 \cdot 1.01 5^{t} = 325

Divide both sides by

230

1.01 5^{t} = \frac{65}{46}

Apply exponent rules

t ln (1.015) = ln (\frac{65}{46})

Solve

t ln (1.015) = ln (\frac{65}{46}) : t = \frac{ln ( \frac{65}{46} )}{ln ( 1.015 )}

t = \frac{ln ( \frac{65}{46} )}{ln ( 1.015 )}

0 = 2^{x - 3} - 1

e^{0.5 x} = 3

x, 2^{x} = 4^{(7 - 2 y)}

3^{\frac{2 x - 3}{1 - x}} = 2 7^{3 x - 2}

7^{5 x + 4} = 56

What is the answer to 230*1.015^t=325 ?
The answer to 230*1.015^t=325 is t=(ln(65/46))/(ln(1.015))
Solve for t: 230*1.015^t=325
The solution is t=(ln(65/46))/(ln(1.015))