Write log'2' 8 = 3 in exponential form?
Read: The log to base 2 of 8 equals 3.
Means: The EXPONENT to base 2 of 8 equals 3.
2^3 = 8.
Log base 2 of 8=3
2 power x=8
2 power x=2 cube
(8 can be written as 2 cube)
a power m=a power n then m=n
So,x=3
2³
2³
Sure, I can do that! So, "log₂ 8 = 3" can be expressed in exponential form as 2³ = 8.
To write the equation log2 8 = 3 in exponential form, we need to understand the definition of logarithm. The logarithm of a number to a given base is the exponent to which the base must be raised to get that number.
In this case, the base is 2 and the number is 8. The logarithm tells us what power we need to raise 2 to in order to get 8.
So, in exponential form, the equation log2 8 = 3 can be written as:
2^3 = 8
This equation reads as "2 raised to the power of 3 equals 8."