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# Solve the exponential equation $50=35+4\left(\frac{3}{4}\right)^{\frac{x}{30}}$

## Step-by-step Solution

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### Videos

$x=\frac{30\log \left(\frac{15}{4}\right)}{\log \left(\frac{3}{4}\right)}$
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## Step-by-step Solution

Problem to solve:

$50=35+4\left(\frac{3}{4}\right)^{\frac{x}{30}}$

Specify the solving method

1

Grouping terms

$15=4\left(\frac{3}{4}\right)^{\frac{x}{30}}$

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

$15=4\left(\frac{3}{4}\right)^{\frac{x}{30}}$

Learn how to solve exponential equations problems step by step online. Solve the exponential equation 50=35+43/4^(x/30). Grouping terms. Rearrange the equation. Divide both sides of the equation by 4. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation.

$x=\frac{30\log \left(\frac{15}{4}\right)}{\log \left(\frac{3}{4}\right)}$

$x=-\frac{13370}{97}$
SnapXam A2

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

### Useful tips on how to improve your answer:

$50=35+4\left(\frac{3}{4}\right)^{\frac{x}{30}}$

### Main topic:

Exponential Equations

~ 0.15 s