1. If loga(x + b) = c, then

2. If logx-4(x2 – 2x – 61) = 2, then x equals

### 1 Answer | Add Yours

1)

`log_a(x+b)=c-gta^c=x+b`

`x=a^c-b`

2)

`log_(x-4)(x^2-2x-61)=2-gt(x-4)^2=x^2-2x-61`

`x^2-8x+16=x^2-2x-61`

`-8x+2x=-61-16`

`-6x=-77`

`x=12.83`

**Sources:**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes