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Solve the exponential equation $5000=1000\cdot 1.05^x$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=32.9869$
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Step-by-step Solution

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  • Solve for x
  • Find the derivative using the definition
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Rearrange the equation

Learn how to solve exponential equations problems step by step online.

$1000\cdot 1.05^x=5000$

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Unlock the first 3 steps of this solution

Learn how to solve exponential equations problems step by step online. Solve the exponential equation 5000=10001.05^x. Rearrange the equation. Divide both sides of the equation by 1000. Simplify the fraction \frac{5000}{1000}. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation.

Final answer to the problem

$x=32.9869$

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Function Plot

Plotting: $5000-1000\cdot 1.05^x$

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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
D□x
∫
∫◻
|◻|
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:

Similar Problems Solved

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$2^{6x+7}=\left(\frac{1}{8}\right)^{1-5x}$

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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