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Popular >

solvefor t,a=pe^{rt}

Solution

solve for

t, a = p e^{r t}

Solution

t = \frac{ln ( \frac{a}{p} )}{r}

Solution steps

a = p e^{r t}

Switch sides

p e^{r t} = a

Divide both sides by

p

e^{r t} = \frac{a}{p}

Apply exponent rules

r t = ln (\frac{a}{p})

Solve

r t = ln (\frac{a}{p}) : t = \frac{ln ( \frac{a}{p} )}{r}

t = \frac{ln ( \frac{a}{p} )}{r}

Popular Examples

2^{3^{x-5}}=8^{9^{x+4}}

2^{3^{x - 5}} = 8^{9^{x + 4}}

64 = 4^{a}

16^{x+2}=64^{2x-5}

1 6^{x + 2} = 6 4^{2 x - 5}

2^{x} = 3^{2 x}

5^{11x+23}=125^{7x}

5^{11 x + 23} = 12 5^{7 x}

Frequently Asked Questions (FAQ)

What is the answer to solvefor t,a=pe^{rt} ?
The answer to solvefor t,a=pe^{rt} is t=(ln(a/p))/r