What is the answer to log_{7}(9x)-2log_{7}(6)=1 ?

The answer to log_{7}(9x)-2log_{7}(6)=1 is x=28

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log_{7}(9x)-2log_{7}(6)=1

lo g_{7} (9 x) - 2 lo g_{7} (6) = 1

x = 28

Solution steps

lo g_{7} (9 x) - 2 lo g_{7} (6) = 1

Move

2 lo g_{7} (6)

to the right side

lo g_{7} (9 x) = 1 + 2 lo g_{7} (6)

Apply log rules

9 x = 252

Solve

9 x = 252 : x = 28

x = 28

Verify Solutions:

x = 28

True

The solution is

x = 28

(ln (x))^{2} - 14 = 5 ln (x)

3.82 = - lo g_{10} (x)

x^{2} ln (x) = 0

lo g_{6} (x) - lo g_{6} (x + 1) = 2

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

What is the answer to log_{7}(9x)-2log_{7}(6)=1 ?
The answer to log_{7}(9x)-2log_{7}(6)=1 is x=28
Solve for x: log_{7}(9x)-2log_{7}(6)=1
The solution is x=28