Mister Exam

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Equation:
Equation 2^x=32
Equation x^2+6x+9=0
Equation x^4-15*x^2-16=0
Equation ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
Express {x} in terms of y where:
19*x-12*y=16
-9*x-1*y=6
-20*x-6*y=4
6*x+9*y=-9
Derivative of:
2^x
Integral of d{x}:
2^x
Graphing y =:
2^x
Expression:
32
Canonical form:
32
32
Identical expressions
two ^x= thirty-two
2 to the power of x equally 32
two to the power of x equally thirty minus two
2x=32
Similar expressions
2^x+5^y=320
((x-3)^2+(1-x)^2+x^2+(2-x)^2+10)/(2*sqrt((x-3)^2+(1-x)^2)*sqrt(x^2+(2-x)^2))=1/sqrt(2)
5.6-3*(2-0.4x)=0.4(4x+1)
(1/2)^x=3x+5
2^x=2*x+8

2^x=32 equation

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

You have entered [src]

 x     
2  = 32

2^{x} = 32

Simplify

Detail solution

Given the equation:

2^{x} = 32

2^{x} - 32 = 0

2^{x} = 32

2^{x} = 32

- this is the simplest exponential equation
Do replacement

v = 2^{x}

we get

v - 32 = 0

v - 32 = 0

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

v = 32

We get the answer: v = 32
do backward replacement

2^{x} = v

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

The final answer

x_{1} = \frac{\log{\left(32 \right)}}{\log{\left(2 \right)}} = 5

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

x1 = 5

x_{1} = 5

x1 = 5

Sum and product of roots [src]

sum

5

5

product

5

5

Numerical answer [src]

x1 = 5.0

x1 = 5.0

The graph