What is the answer to 789=3(7)^x ?

The answer to 789=3(7)^x is x=(ln(263))/(ln(7))

Solve for x: 789=3(7)^x

The solution is x=(ln(263))/(ln(7))

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789 = 3 (7)^{x}

x = \frac{ln ( 263 )}{ln ( 7 )}

Solution steps

789 = 3 (7)^{x}

Switch sides

3 \cdot 7^{x} = 789

Divide both sides by

3

7^{x} = 263

Apply exponent rules

x ln (7) = ln (263)

Solve

x ln (7) = ln (263) : x = \frac{ln ( 263 )}{ln ( 7 )}

x = \frac{ln ( 263 )}{ln ( 7 )}

2^{x} - 10 \cdot 2^{x} + 16 = 0

1 = 2 \cdot e^{- 0.00203 \cdot t}

5 \cdot 2^{2 x} - 3 \cdot 2^{x} - 2 = 0

9 \cdot 8^{x} = 45.68

t, f = p (1 + r)^{t}

What is the answer to 789=3(7)^x ?
The answer to 789=3(7)^x is x=(ln(263))/(ln(7))
Solve for x: 789=3(7)^x
The solution is x=(ln(263))/(ln(7))