Question

What is the solution to the equation 21^x-3=14?

x=-2.133
x=-1.846
x=3.867
x=4.154

Answer 1

X-3= log 21(14)
X= log 21(14) /3
X= 3.86682
X= 3.867

Answer 2

`3.866`

Explanation:

The given equation can be solved by using the log function.

`21^(x-3) = 14\\(x-3) log 21 = log 14\\x-3 = (log 14)/(log 21) \\x-3 = 0.866\\x = 3.866\\`