What is log_{7}(2x-5)+log_{7}(5) ?

The solution to log_{7}(2x-5)+log_{7}(5) is log_{7}(5(2x-5))

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simplify log_{7}(2x-5)+log_{7}(5)

simplify

lo g_{7} (2 x - 5) + lo g_{7} (5)

lo g_{7} (5 (2 x - 5))

Solution steps

lo g_{7} (2 x - 5) + lo g_{7} (5)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{7} (2 x - 5) + lo g_{7} (5) = lo g_{7} ((2 x - 5) \cdot 5)

= lo g_{7} ((2 x - 5) \cdot 5)

= lo g_{7} (5 (2 x - 5))

lo g_{10} (\frac{1}{ab})

- 4 ln (2 x)

- \frac{5 ln ( 50 )}{ln ( 2 )}

3.17 + lo g_{10} (\frac{0.34}{0.16})

ln (3) - ln (x)

What is log_{7}(2x-5)+log_{7}(5) ?
The solution to log_{7}(2x-5)+log_{7}(5) is log_{7}(5(2x-5))