Get expert insights and community support for your questions on IDNLearn.com. Discover the information you need from our experienced professionals who provide accurate and reliable answers to all your questions.

My question is, what is:  log6(4x-8)=3

Sagot :

4x-8=6^3
4x-8=216
4x=224
x=56
[tex]log_6(4x-8)=3\ (*)\\\\D:4x-8 > 0\to4x > 8\to x > 2\to x\in(2;\ \infty)\\\\(*)\ 4x-8=6^3\\\\4x=216+8\\\\4x=224\ \ \ \ /:4\\\\x=56\in D[/tex]