Question

What is the solution to……………………ASAP

Answer 1

Answer:

first option

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ($\frac{x}{y}$ )

log$x^{n}$ ⇔ n log x

ln e = 1

Given

4 + 5$e^{x+2}$ = 11 ( subtract 4 from both sides )

5$e^{x+2}$ = 7 ( divide both sides by 5 )

$e^{x+2}$ = $\frac{7}{5}$ ( take ln of both sides )

ln $e^{x+2}$ = ln ($\frac{7}{5}$ )

(x + 2) lne = ln ($\frac{7}{5}$ )

x + 2 = ln ($\frac{7}{5}$ ) ( subtract 2 from both sides )

x = ln($\frac{7}{5}$ ) - 2