What is the answer to 2967*1.39^x=5000 ?

The answer to 2967*1.39^x=5000 is x=(ln(5000/2967))/(ln(1.39))

Solve for x: 2967*1.39^x=5000

The solution is x=(ln(5000/2967))/(ln(1.39))

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2967 \cdot 1.3 9^{x} = 5000

x = \frac{ln ( \frac{5000}{2967} )}{ln ( 1.39 )}

Decimal Notation

x = 1.58481 \dots

Solution steps

2967 \cdot 1.3 9^{x} = 5000

Divide both sides by

2967

1.3 9^{x} = \frac{5000}{2967}

Apply exponent rules

x ln (1.39) = ln (\frac{5000}{2967})

Solve

x ln (1.39) = ln (\frac{5000}{2967}) : x = \frac{ln ( \frac{5000}{2967} )}{ln ( 1.39 )}

x = \frac{ln ( \frac{5000}{2967} )}{ln ( 1.39 )}

8 = e^{\frac{0 + c _{1}}{2}}

e^{\frac{k}{11}} = a

9^{3 x - 5} = 8 1^{x + 2}

4 = 324 (3^{- 0.6 (x)})

8^{x} \cdot (4^{x})^{2 - 6} = 4

What is the answer to 2967*1.39^x=5000 ?
The answer to 2967*1.39^x=5000 is x=(ln(5000/2967))/(ln(1.39))
Solve for x: 2967*1.39^x=5000
The solution is x=(ln(5000/2967))/(ln(1.39))