The exponential property can be used to solve the exponential equation where we can express each side in terms of the same base. We can express many types of graphs like radioactive decay and others by using this formula.
Formula of Exponential
| If a is a number such that a>0 and a≠1 then an exponential function is a function in the form,
f(x) = a x |
Where a is base and x can be any real number. Apart from this basic formula, there are other formulas for exponential like exponential growth formula.
Solved Example of Exponential Formula
Question: Solve for x: 44x-5 = 162
Solution:
Given:
44x-5 = 162
16 can be expressed as a power of 4:
44x-5 = (42)2
44x-5 = 44
Here, bases are the same.
⇒ 4x – 5 = 4
⇒ 4x = 4+5
⇒ 4x = 9
⇒ x = 9/4
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