Question

solve log 6+ log(4x-5)= log (2x+7)+1

Answer 1

The value of $x$ is $25$

Step-by-step explanation:

Given,

Solve $log(6)+log(4x-5)=log(2x+7)+1$

∴ $log(6)+log(4x-5)=log(2x+7)+1$

⇒$log(6)+log(4x-5)=log(2x+7)+log(10)$ (∵ $log(10)=1$)

⇒$log(6(4x-5))=log(10(2x+7))$ (∵$log(a)+log(b)=log(ab)$)

⇒$6(4x-5)=10(2x+7)$

⇒$24x-30=20x+70$

⇒$24x-20x=70+30$

⇒$4x=100$

⇒$x=\frac{100}{4}$

⇒$x=25$

So, The value of $x$ is $25$

Answer 2

Answer:

x = 25

the value of x is 25