What is the answer to log_{5}(7^{3x})=10 ?

The answer to log_{5}(7^{3x})=10 is x=(10ln(5))/(3ln(7))

Solve for x: log_{5}(7^{3x})=10

The solution is x=(10ln(5))/(3ln(7))

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lo g_{5} (7^{3 x}) = 10

x = \frac{10 ln ( 5 )}{3 ln ( 7 )}

Decimal Notation

x = 2.75695 \dots

Solution steps

lo g_{5} (7^{3 x}) = 10

Rewrite the equation with

7^{3 x} = u

lo g_{5} (u) = 10

Solve

lo g_{5} (u) = 10 : u = 9765625

u = 9765625

Substitute back

u = 7^{3 x},

solve for

x

Solve

7^{3 x} = 9765625 : x = \frac{10 ln ( 5 )}{3 ln ( 7 )}

x = \frac{10 ln ( 5 )}{3 ln ( 7 )}

4^{- \frac{1}{x}} = \frac{1}{2}

5. 5^{r} = 1.6

2^{2 x} - 29 (2^{x}) - 96 = 0

8^{12 x} - 8^{6 x} - 56 = 0

9^{1 - 2 x} = \frac{1}{2 7 ^{x - 4}}

What is the answer to log_{5}(7^{3x})=10 ?
The answer to log_{5}(7^{3x})=10 is x=(10ln(5))/(3ln(7))
Solve for x: log_{5}(7^{3x})=10
The solution is x=(10ln(5))/(3ln(7))