What is the answer to log_{r(x)}(r(x)(x)^{2x-1})=2x-1 ?

The answer to log_{r(x)}(r(x)(x)^{2x-1})=2x-1 is No Solution for x\in\mathbb{R}

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log_{r(x)}(r(x)(x)^{2x-1})=2x-1

lo g_{r (x)} (r (x) (x)^{2 x - 1}) = 2 x - 1

No Solution for x \in R

Solution steps

lo g_{r (x)} (r (x) x^{2 x - 1}) = 2 x - 1

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

r (x)^{l o g_{r (x)} (r (x) x^{2 x - 1})} = r (x)^{2 x - 1}

Simplify

r (x)^{l o g_{r (x)} (r (x) x^{2 x - 1})} : x^{2 x - 1} r (x)

x^{2 x - 1} r (x) = r (x)^{2 x - 1}

Solve

x^{2 x - 1} r (x) = r (x)^{2 x - 1} :

No Solution for

x \in R

No Solution for x \in R

lo g_{w} (3) = \frac{1}{2}

900 = \frac{4000}{ln ( x + 10 )}

ln (4 - x) - ln (x + 1) = ln (2)

ln (3 x + 2) + ln (x - 1) = 1

0.45 = lo g_{10} (x)

What is the answer to log_{r(x)}(r(x)(x)^{2x-1})=2x-1 ?
The answer to log_{r(x)}(r(x)(x)^{2x-1})=2x-1 is No Solution for x\in\mathbb{R}