What is the answer to 20(10^{0.1t})=25(10^{0.05t}) ?

The answer to 20(10^{0.1t})=25(10^{0.05t}) is t=(ln(5/4))/(0.05ln(10))

Solve for t: 20(10^{0.1t})=25(10^{0.05t})

The solution is t=(ln(5/4))/(0.05ln(10))

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20 (1 0^{0.1 t}) = 25 (1 0^{0.05 t})

t = \frac{ln ( \frac{5}{4} )}{0.05 ln ( 10 )}

Decimal Notation

t = 1.93820 \dots

Solution steps

20 (1 0^{0.1 t}) = 25 (1 0^{0.05 t})

Apply exponent rules

ln (20) + 0.1 t ln (10) = ln (25) + 0.05 t ln (10)

Solve

ln (20) + 0.1 t ln (10) = ln (25) + 0.05 t ln (10) : t = \frac{ln ( \frac{5}{4} )}{0.05 ln ( 10 )}

t = \frac{ln ( \frac{5}{4} )}{0.05 ln ( 10 )}

\frac{1}{e ^{3 x + 1}} = e^{2 x - 1}

x^{3} = 2^{x}

3^{x + 5} + 3^{x} = 177876

a^{x} = x

3^{m + 2} = 4

What is the answer to 20(10^{0.1t})=25(10^{0.05t}) ?
The answer to 20(10^{0.1t})=25(10^{0.05t}) is t=(ln(5/4))/(0.05ln(10))
Solve for t: 20(10^{0.1t})=25(10^{0.05t})
The solution is t=(ln(5/4))/(0.05ln(10))