Step-by-step Solution

Solve the equation $26^{\left(9x+5\right)}=1$

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Step-by-step Solution

Problem to solve:

$26^{9x+5}=1$

Learn how to solve equations problems step by step online.

$\log \left(26^{\left(9x+5\right)}\right)=\log \left(1\right)$

Unlock this full step-by-step solution!

Learn how to solve equations problems step by step online. Solve the equation 26^(9x+5)=1. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation. Evaluating the logarithm of base 10 of 1. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Evaluating the logarithm of base 10 of 26.

Final Answer

$x=-\frac{5}{9}$
$26^{9x+5}=1$

Main topic:

Equations

Time to solve it:

~ 0.04 s