What is the answer to 0.5*10^{8t}=73 ?

The answer to 0.5*10^{8t}=73 is t=(ln(146))/(8ln(10))

Solve for t: 0.5*10^{8t}=73

The solution is t=(ln(146))/(8ln(10))

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0.5 \cdot 1 0^{8 t} = 73

t = \frac{ln ( 146 )}{8 ln ( 10 )}

Decimal Notation

t = 0.27054 \dots

Solution steps

0.5 \cdot 1 0^{8 t} = 73

Divide both sides by

0.5

1 0^{8 t} = 146

Apply exponent rules

8 t ln (10) = ln (146)

Solve

8 t ln (10) = ln (146) : t = \frac{ln ( 146 )}{8 ln ( 10 )}

t = \frac{ln ( 146 )}{8 ln ( 10 )}

4^{x} = 6^{1 - x}

5^{3 x + 2} + 3 \cdot 5^{6 x + 2} - 100 = 0

3^{5 x + 2} = 21

6^{x} = 4

2^{x + 2} - 4^{x + 1} = - 960

What is the answer to 0.5*10^{8t}=73 ?
The answer to 0.5*10^{8t}=73 is t=(ln(146))/(8ln(10))
Solve for t: 0.5*10^{8t}=73
The solution is t=(ln(146))/(8ln(10))