What is the answer to 19450000=975(1.76)^x ?

The answer to 19450000=975(1.76)^x is x=(ln(778000/39))/(ln(1.76))

Solve for x: 19450000=975(1.76)^x

The solution is x=(ln(778000/39))/(ln(1.76))

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19450000 = 975 (1.76)^{x}

x = \frac{ln ( \frac{778000}{39} )}{ln ( 1.76 )}

Decimal

x = 17.51402 \dots

Solution steps

19450000 = 975 (1.76)^{x}

Switch sides

975 \cdot 1.7 6^{x} = 19450000

Divide both sides by

975

1.7 6^{x} = \frac{778000}{39}

Apply exponent rules

x ln (1.76) = ln (\frac{778000}{39})

Solve

x ln (1.76) = ln (\frac{778000}{39}) : x = \frac{ln ( \frac{778000}{39} )}{ln ( 1.76 )}

x = \frac{ln ( \frac{778000}{39} )}{ln ( 1.76 )}

4^{5 x} = 4^{10}

9^{x + 2} + 3^{x + 3} - 810 = 0

(7^{4})^{x} = 7^{- 8}

e^{- 6 x} - 6 e^{- 3 x} = - 8

9^{x} = \frac{1}{9}

What is the answer to 19450000=975(1.76)^x ?
The answer to 19450000=975(1.76)^x is x=(ln(778000/39))/(ln(1.76))
Solve for x: 19450000=975(1.76)^x
The solution is x=(ln(778000/39))/(ln(1.76))