Question

Solve 11.3^(2x – 1) = 15.7

x ≈ 1.12

x ≈ 0.57

x ≈ 0.94

x ≈ 1.07

Answer 1

Similar to your previous question.
Take log on both sides
11.3^(2x – 1) = 15.7
log [11.3^(2x – 1)] = log15.7
Use log property: \[loga^b = b\log a\]
(2x-1) log 11.3 = log15.7
Divide both sides by log 11.3. What do you get so far?

Answer 2

taking log of both sides.
\[\Large \log(3)^{2x-1}=\log(15.7)\]
or using the log property
\[\Large \log(a)^n=nlog(a)\]
\[\Large \implies (2x-1)\log(11.3)=\log(15.7)\]
can you solve this now ?

Answer 3

(2x-1)1.05=1.19
idk what to do with 2x-1

Answer 4

2x-1=0.882

Answer 5

0.94?

Answer 6

Not really.. 1.19/1.05 ≠ 0.882