Can someone make my day and explain this to me

Step-by-step explanation:

Remark

The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.

2^x = 1024

log 2^x = log(1024)

x log(2) = log(1024)

x * 0.30102 = 3.0102

x = 30102/0.30102

x = 10

You could use the e system to solve this as well

2^x = 1024

ln(2^x) = ln(1024)

x * ln(2) = ln(1024)

x 0.6931 = 6.9315

x = 6.9315/0.69315

x = 9.999959

x = 10

true

Step-by-step explanation:

looked up the definition