Question

Solve for x if 5^x=200​

Answer 1

x ≈ 3.29

Explanation:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x =
`(ln(200))/(ln(5))`

Decimal Form:

x = 3.29202967 … ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)

Answer 2

ln200/ln5

Explanation:

ln5^x=ln200

xln5=ln200

x=ln200/ln5