What is expand log_{10}(sqrt(4x-7)) ?

The solution to expand log_{10}(sqrt(4x-7)) is 1/2 log_{10}(4x-7)

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expand log_{10}(sqrt(4x-7))

expand

lo g_{10} (4 x - 7)

\frac{1}{2} lo g_{10} (4 x - 7)

Solution steps

lo g_{10} (4 x - 7)

Rewrite as

= lo g_{10} ((4 x - 7)^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} lo g_{10} (4 x - 7)

a x b (a + a - b)

s im p i f y (1 - x) (1 - x) (3 - x)

(1 - cos (2) (x))^{2}

5 (4 - 5^{\frac{1}{2}})

(x^{2} + y^{2} - 1)^{2}

What is expand log_{10}(sqrt(4x-7)) ?
The solution to expand log_{10}(sqrt(4x-7)) is 1/2 log_{10}(4x-7)