Question

Find the solution of the exponential equation, rounded to four decimal places.
5^x=4^(x+1)

Answer 1

5^x=4^(x+1)

5^x=4^x * 4

5^x/4^x = 4

(5/4)^x = 4

mightbe hard to do without a calculator or some higher methods

Answer 2

(5/4)^x = 4

x ln(5/4) = ln(4)

x = ln(4)/ln(5/4)

x = ln(4)/ [ln(5) - ln(4) ]

Answer 3

thank you!!!