What is the answer to -2\times 10^{4x}=-300 ?

The answer to -2\times 10^{4x}=-300 is x=(ln(150))/(4ln(10))

Solve for x: -2\times 10^{4x}=-300

The solution is x=(ln(150))/(4ln(10))

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- 2 \cdot 1 0^{4 x} = - 300

x = \frac{ln ( 150 )}{4 ln ( 10 )}

Decimal

x = 0.54402 \dots

Solution steps

- 2 \cdot 1 0^{4 x} = - 300

Divide both sides by

- 2

1 0^{4 x} = 150

Apply exponent rules

4 x ln (10) = ln (150)

Solve

4 x ln (10) = ln (150) : x = \frac{ln ( 150 )}{4 ln ( 10 )}

x = \frac{ln ( 150 )}{4 ln ( 10 )}

7^{5 x + 3} = 512

4^{d} = 8^{6}

2^{3 x + 2} = 32

x, x = e^{2 t}

9^{m - 6} = 78

What is the answer to -2\times 10^{4x}=-300 ?
The answer to -2\times 10^{4x}=-300 is x=(ln(150))/(4ln(10))
Solve for x: -2\times 10^{4x}=-300
The solution is x=(ln(150))/(4ln(10))