Question

5^x=62 Giving 20 points!

Answer 1

Answer:

x = 2.564 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

log$x^{n}$ ⇔ n logx

Given

$5^{x}$ = 62 ( take the ln of both sides )

ln$5^{x}$ = ln 62, that is

x ln5 = ln 62 ( divide both sides by ln 5 )

x = $\frac{ln62}{ln5}$ ≈ 2.564

Answer 2

Answer:

2.5

Step-by-step explanation:

ln(5^x)=ln(62)

$x=\frac{ln62}{ln5}$

≈2.56433