Question

Solve the logarithmic equation . Round the answer to four decimal places . 2^x =25

Answer 1

x = 4.6439

Explanation:

`2^(x) =25log 2^x = log 25\\log 2 = log 25x = log 25 / log 2\\x =4.643856\\x = 4.6439`

Answer 2

x = 4.6439

Explanation:

2^x =25

Take the log of each side

log 2^x = log 25

We know that log a^b = b log a

x log 2 = log 25

Divide each side by log 2

x = log 25 / log 2

x =4.643856

Rounding to 4 decimal places

x = 4.6439