What is the answer to 79*10^{5x}=78 ?

The answer to 79*10^{5x}=78 is x=(ln(78/79))/(5ln(10))

Solve for x: 79*10^{5x}=78

The solution is x=(ln(78/79))/(5ln(10))

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79 \cdot 1 0^{5 x} = 78

x = \frac{ln ( \frac{78}{79} )}{5 ln ( 10 )}

Decimal Notation

x = - 0.00110 \dots

Solution steps

79 \cdot 1 0^{5 x} = 78

Divide both sides by

79

1 0^{5 x} = \frac{78}{79}

Apply exponent rules

5 x ln (10) = ln (\frac{78}{79})

Solve

5 x ln (10) = ln (\frac{78}{79}) : x = \frac{ln ( \frac{78}{79} )}{5 ln ( 10 )}

x = \frac{ln ( \frac{78}{79} )}{5 ln ( 10 )}

2^{2 x} - 3 \cdot 2^{x} = 4

e^{0.5 x} = 0.5

(\frac{1}{2})^{x} = \frac{1}{3}

3^{6 + 3 x} = \frac{1}{27}

- 2^{x} = 2

What is the answer to 79*10^{5x}=78 ?
The answer to 79*10^{5x}=78 is x=(ln(78/79))/(5ln(10))
Solve for x: 79*10^{5x}=78
The solution is x=(ln(78/79))/(5ln(10))