What is the answer to 6log_{10}(x-7)=13 ?

The answer to 6log_{10}(x-7)=13 is x=100\sqrt[6]{10}+7

Solve for x: 6log_{10}(x-7)=13

The solution is x=100\sqrt[6]{10}+7

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6 lo g_{10} (x - 7) = 13

x = 100610 + 7

Decimal

x = 153.77992 \dots

Solution steps

6 lo g_{10} (x - 7) = 13

Divide both sides by

6

lo g_{10} (x - 7) = \frac{13}{6}

Apply log rules

x - 7 = 100610

Solve

x - 7 = 100610 : x = 100610 + 7

x = 100610 + 7

Verify Solutions:

x = 100610 + 7

True

The solution is

x = 100610 + 7

lo g_{10} (2 x - 3) = 0

2 lo g_{10} (3 x - 2) = 4

lo g_{10} (x + 11) = lo g_{10} (x) + lo g_{10} (11)

ln (3 x + 9) = 2 x - 3

lo g_{2} ((2 x^{2} + 7 x) + 9) = 3

What is the answer to 6log_{10}(x-7)=13 ?
The answer to 6log_{10}(x-7)=13 is x=100\sqrt[6]{10}+7
Solve for x: 6log_{10}(x-7)=13
The solution is x=100\sqrt[6]{10}+7