Question

What is the solution of log2x + 6 8 = 3? x = −2 x = 2 x = −3 x = 3

Answer 1

x=-3

Explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes
`10^(-5) = 2x+6`

subtract 6 from both sides

`2x= 10^(-5) -6`

Now we divide by 2 on both sides

x= -3 approximately

Answer 2

x = −3

Explanation:

The equation is

log(2x + 6) + 8 = 3

We combine first subtract 8 on both sides

log(2x + 6) + 8-8 = 3 -8

log(2x + 6) = -5

The log is to base 10

Thus;

10 ⁻⁵ = 2x + 6

0.00001 = 2x + 6

2x = 0.00001 -6

2x = -5.99999

Dividing both sides by 2

x = - 2.999995

≈ - 3