Question

75 = 4(2)^x

Solve the equation by changing the form. Round answer to three decimals.
*the “x” is the exponent
plz help I'm so confused, make it step by step cause I'm dumb

Answer 1

4.229

Explanation:

75 = 4(2)^x

75/4 = 2^x

Apply ln both sides

ln(75/4) = ln(2^x)

ln(75/4) = x ln(2)

x = ln(75/4) ÷ ln(2)

x = 4.22881869