What is the answer to -7*20^{x-4}=-49 ?

The answer to -7*20^{x-4}=-49 is x=(ln(7))/(ln(20))+4

Solve for x: -7*20^{x-4}=-49

The solution is x=(ln(7))/(ln(20))+4

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- 7 \cdot 2 0^{x - 4} = - 49

x = \frac{ln ( 7 )}{ln ( 20 )} + 4

Decimal Notation

x = 4.64956 \dots

Solution steps

- 7 \cdot 2 0^{x - 4} = - 49

Divide both sides by

- 7

2 0^{x - 4} = 7

Apply exponent rules

(x - 4) ln (20) = ln (7)

Solve

(x - 4) ln (20) = ln (7) : x = \frac{ln ( 7 )}{ln ( 20 )} + 4

x = \frac{ln ( 7 )}{ln ( 20 )} + 4

1240000 = 525600 e^{0.03 t}

e^{2 x} + 2 x e^{2 x} = 0

\frac{3 x + 16}{2 ^{x}} = 0

3^{2 x + 1} = 2^{x}

3^{x - 1} = \frac{3}{27}

What is the answer to -7*20^{x-4}=-49 ?
The answer to -7*20^{x-4}=-49 is x=(ln(7))/(ln(20))+4
Solve for x: -7*20^{x-4}=-49
The solution is x=(ln(7))/(ln(20))+4