Mister Exam

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2^x=16 equation

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

You have entered [src]

 x     
2  = 16

2^{x} = 16

Simplify

Detail solution

Given the equation:

2^{x} = 16

2^{x} - 16 = 0

2^{x} = 16

2^{x} = 16

- this is the simplest exponential equation
Do replacement

v = 2^{x}

we get

v - 16 = 0

v - 16 = 0

Move free summands (without v)
from left part to right part, we given:

v = 16

We get the answer: v = 16
do backward replacement

2^{x} = v

x = \frac{\log{\left(v \right)}}{\log{\left(2 \right)}}

The final answer

x_{1} = \frac{\log{\left(16 \right)}}{\log{\left(2 \right)}} = 4

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

x1 = 4

x_{1} = 4

x1 = 4

Sum and product of roots [src]

sum

4

4

product

4

4

Numerical answer [src]

x1 = 4.0

x1 = 4.0

The graph