What is the answer to 10log_{7}(x-3)=66 ?

The answer to 10log_{7}(x-3)=66 is x=117649*7^{3/5}+3

Solve for x: 10log_{7}(x-3)=66

The solution is x=117649*7^{3/5}+3

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10 lo g_{7} (x - 3) = 66

x = 117649 \cdot 7^{\frac{3}{5}} + 3

Decimal Notation

x = 378138.16262 \dots

Solution steps

10 lo g_{7} (x - 3) = 66

Divide both sides by

10

lo g_{7} (x - 3) = \frac{33}{5}

Apply log rules

x - 3 = 117649 \cdot 7^{\frac{3}{5}}

Solve

x - 3 = 117649 \cdot 7^{\frac{3}{5}} : x = 117649 \cdot 7^{\frac{3}{5}} + 3

x = 117649 \cdot 7^{\frac{3}{5}} + 3

Verify Solutions:

x = 117649 \cdot 7^{\frac{3}{5}} + 3

True

The solution is

x = 117649 \cdot 7^{\frac{3}{5}} + 3

ln (x^{3}) = 7

lo g_{c} (c^{6}) = 6

3 lo g_{3} (x) = 5

ln (x^{2} + x) = 5

lo g_{10} (1 - x) = 0

What is the answer to 10log_{7}(x-3)=66 ?
The answer to 10log_{7}(x-3)=66 is x=117649*7^{3/5}+3
Solve for x: 10log_{7}(x-3)=66
The solution is x=117649*7^{3/5}+3