Answer:
[tex]x=3/2=1.5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]49=7^{2x-1}[/tex]
Note that 49 is the same as 7 squared. Thus:
[tex](7)^2=(7)^{2x-1}[/tex]
Since they now have the same base, the exponents must be equal to each other. So:
[tex]2=2x-1[/tex]
Add 1 to both sides:
[tex]3=2x[/tex]
Divide both sides by 2:
[tex]x=3/2=1.5[/tex]
And we're done!
