Answer:
The solution for x is 8.911
Step-by-step explanation:
Given expression as :
[tex]7^{x}[/tex] = [tex]18^{6}[/tex]
Taking Log both side
Log [tex]7^{x}[/tex] = Log [tex]18^{6}[/tex]
From Log property
Log [tex]a^{b}[/tex] = b Log a
So, x Log 7 = 6 Log 18
Or, x × 0.845 = 6 × 1.255
Or , x × 0.845 = 7.53
∴ x = [tex]\frac{7.53}{0.845}[/tex]
I.e x = 8.911
Hence The solution for x is 8.911 Answer
