Mister Exam

Other calculators


2^x=16

2^x=16 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
 x     
2  = 16
2x=162^{x} = 16
Detail solution
Given the equation:
2x=162^{x} = 16
or
2x16=02^{x} - 16 = 0
or
2x=162^{x} = 16
or
2x=162^{x} = 16
- this is the simplest exponential equation
Do replacement
v=2xv = 2^{x}
we get
v16=0v - 16 = 0
or
v16=0v - 16 = 0
Move free summands (without v)
from left part to right part, we given:
v=16v = 16
We get the answer: v = 16
do backward replacement
2x=v2^{x} = v
or
x=log(v)log(2)x = \frac{\log{\left(v \right)}}{\log{\left(2 \right)}}
The final answer
x1=log(16)log(2)=4x_{1} = \frac{\log{\left(16 \right)}}{\log{\left(2 \right)}} = 4
The graph
-7.5-5.0-2.50.02.55.07.510.012.515.017.520.0020000
Rapid solution [src]
x1 = 4
x1=4x_{1} = 4
x1 = 4
Sum and product of roots [src]
sum
4
44
=
4
44
product
4
44
=
4
44
4
Numerical answer [src]
x1 = 4.0
x1 = 4.0
The graph
2^x=16 equation