Question

Solve for x if 5^x=200​

Answer 1

Answer:

ln200/ln5

Step-by-step explanation:

ln5^x=ln200

xln5=ln200

x=ln200/ln5

Answer 2

Answer:

x ≈ 3.29

Step-by-step explanation:

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

Exact Form:

x  = $\frac{ln(200)}{ln(5)}$

Decimal Form:

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