Question

Solve for x
log(x-5)+log 4=2

Answer 1

Step-by-step explanation:

log(x-5) x (4)=log100

log(4x-20)=log100

4x-20=100

4x=100/20

4x=50

x=50/4

x=0.08

Answer 2

Here we go bud,

$log(x - 5) + log(4) = 2$

Since we have a relation as,
$log(m) + log(n) = log(mn)$
Using this property,

$log(x - 5) (4) = 2 \\ log(4x - 20) = 2$

2 can also be written as:
$log \: 100 = 2$

So we have,

$log(4x - 20) = log(100) \\ \\ 4x - 20 = 100 \\ \\ 4x = 120 \\ \\ x = \frac{120}{4} = 30$


Therefore, x has a values of 30.