Question

find x if 4^5x-3 = 16^3x-5

Answer 1

Step-by-step explanation:

To find: the value of x for the given question

\begin{gathered}\dfrac{5x}{3} -4=\dfrac{3x}{5}\\\\\Rightarrow \dfrac{5x}{3} -\dfrac{3x}{5}=4\end{gathered}35x−4=53x⇒35x−53x=4

Taking LCM of 3 and 5 and solving this we get

\begin{gathered}\dfrac{25x-9x}{15} =4\\\\\Rightarrow \dfrac{16x}{15} =4\\\\\Rightarrow x= \dfrac{4\times15}{16} =\dfrac{15}{4}\end{gathered}1525x−9x=4⇒1516x=4⇒x=164×15=415

Hence the value of x is \dfrac{15}{4}415

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Find the value of x

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Answer 2

Answer:

Value of x is 7

Step-by-step explanation:

${4}^{5x - 3} = {16}^{3x - 5} \\ = {4}^{5x - 3} = {4}^{2(3x - 5)} \\ = {4}^{5x - 3} = {4}^{6x - 10} \\ = 5x - 3 = 6x - 10 \\ = 5x - 6x = - 10 + 3 \\ = - x = - 7 \\ = - x = - 7 \\ = x = 7$