Question

PLEASE HELP QUICK!!......Can someone please solve this and explain how to do it:

21^x+3 = 14

a) x ≈ −2.133
b) x ≈ −1.846
c) x ≈ 3.867
d) x ≈ 4.154

Answer 1

A. x = -2.133

Explanation:

1. Simplify:
`ln(21^(x+3)) = ln(14)\\`

2. Use the formula (
`ln(a^c)=c*ln(a)`):
`(x+3) * ln(21) = ln(14)`

3. Multiply each term by ln(21):
`ln(21)x + 3ln(21) = ln(14)`

4. Move constant to the right:
`ln(21)x = ln(14)-3ln(21)`

5. Divide both sides:
`x=(ln(14))/(ln(21))-3`

`x=-2.133`