What is the answer to 100=5\times 10^{0.3t} ?

The answer to 100=5\times 10^{0.3t} is t=(ln(20))/(0.3ln(10))

Solve for t: 100=5\times 10^{0.3t}

The solution is t=(ln(20))/(0.3ln(10))

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100 = 5 \cdot 1 0^{0.3 t}

t = \frac{ln ( 20 )}{0.3 ln ( 10 )}

Decimal Notation

t = 4.33676 \dots

Solution steps

100 = 5 \cdot 1 0^{0.3 t}

Switch sides

5 \cdot 1 0^{0.3 t} = 100

Divide both sides by

5

1 0^{0.3 t} = 20

Apply exponent rules

0.3 t ln (10) = ln (20)

Solve

0.3 t ln (10) = ln (20) : t = \frac{ln ( 20 )}{0.3 ln ( 10 )}

t = \frac{ln ( 20 )}{0.3 ln ( 10 )}

5^{5 x + 2} = 12 5^{4 - 2 x}

4 \times 2^{x} = 1

- 8 \cdot 1 0^{p + 7} - 7 = - 24

- 1 (1 - 2^{x}) = 2180

2^{3 x - 1} = 2 \cdot 3^{2 - 3 x}

What is the answer to 100=5\times 10^{0.3t} ?
The answer to 100=5\times 10^{0.3t} is t=(ln(20))/(0.3ln(10))
Solve for t: 100=5\times 10^{0.3t}
The solution is t=(ln(20))/(0.3ln(10))