Solve the exponential equation $10\cdot 10^x-5424=4576$

Step-by-step Solution

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Final answer to the problem

$x=3$
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Step-by-step Solution

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The product of powers of the same base is equal to the base raised to the sum of the exponents: $a^m\cdot a^n=a^{m+n}$

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$10^{\left(x+1\right)}-5424=4576$

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Learn how to solve exponential equations problems step by step online. Solve the exponential equation 1010^x-5424=4576. The product of powers of the same base is equal to the base raised to the sum of the exponents: a^m\cdot a^n=a^{m+n}. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -5424 from both sides of the equation. Canceling terms on both sides. Rewrite the number 10000 as a power with base 10 so that we have exponentials with the same base on both sides of the equation.

Final answer to the problem

$x=3$

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Function Plot

Plotting: $10\cdot 10^x-5424-4576$

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Answer Assistant

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Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Exponential Equations

Exponential equations are those where the unknown appears only in the exponents of powers of constant bases.

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