Question

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

Answer 1

Answer:

A. x = -2.133

Step-by-step 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: $x=\frac{ln(14)}{ln(21)}-3$

$x=-2.133$