Respuesta :
Answer:
x=2.192785
Step-by-step explanation:
52x−1=12x
log(52x−1)=log(12x)
(2x−1)*(log(5))=x*(log(12))
2x−1=(
log(12)
log(5)
)*(x)
2x−1=1.543959*x
2x−1=1.543959x
2x−1−1.543959x=1.543959x−1.543959x 1.543959x
0.456041x−1=0
0.456041x−1+1=0+1
0.456041x=1
0.456041x
0.456041
=
1
0.456041
0.456041)
x=2.192785
Answer:
x = 2.19
Step-by-step explanation:
Given that,
An equation, [tex]5^{2x-1} =12^{x}[/tex]
To find,
The value of x.
Solution,
We have,
[tex]5^{2x-1} =12^{x}[/tex]
Taking log both sides,
[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]
We know that,
[tex]\text{log}\ a^n=n\ \text{log}a[/tex]
So,
[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]
So,
[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]
So, the value of x is equal to [tex]2.19[/tex].
Reference,
https://brainly.com/question/14968632
