What is the answer to log_{5}(25^{3x})=10 ?

The answer to log_{5}(25^{3x})=10 is x= 5/3

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log_{5}(25^{3x})=10

lo g_{5} (2 5^{3 x}) = 10

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

lo g_{5} (2 5^{3 x}) = 10

Rewrite the equation with

2 5^{3 x} = u

lo g_{5} (u) = 10

Solve

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

u = 9765625

Substitute back

u = 2 5^{3 x},

solve for

x

Solve

2 5^{3 x} = 9765625 : x = \frac{5}{3}

x = \frac{5}{3}

(4^{5 x + 1}) = 16

i, \frac{n}{2 ^{i}} = 1

x, y - 3 = 4 (5^{2 x + 1})

57 = 1 3^{x}

2^{6 \cdot l o g_{4} (x)} = 8

What is the answer to log_{5}(25^{3x})=10 ?
The answer to log_{5}(25^{3x})=10 is x= 5/3
Solve for x: log_{5}(25^{3x})=10
The solution is x= 5/3