Question

solve the following logarithmic equation log(6x+2)=1 + log (x-5)



find the domian of the composite function f.g f(x) x^2 +2;g(x)= sqrt x-1

Answer 1

x=13

Answer 2

To solve the logarithmic equation write it as
log(6x + 2) = log 10 + log(x - 5) ..............(1)
This can be done because 1 = log to base 10 of 10
Simplifying (1) gives
log(6x + 2) = log 10(x - 5)
Can you solve for x now?

Answer 3

yes
bases are the same
so
6x+2=10(x-5)
simplify
x=13