Solved equation does not verify

[apostruk]

I solved two different exponential equations with different bases. However, I can’t verify the equations with the solution for x. Perhaps someone can point out my mistake. An image of my work is attached.

 

[BigBeachBanana]

I solved two different exponential equations with different bases. However, I can’t verify the equations with the solution for x. Perhaps someone can point out my mistake. An image of my work is attached.

You're missing negative signs on both solutions.

 

[apostruk]

Yup, that’s it! The devil’s always in the details.

Thanks for your astuteness.

 

[apostruk]

You're missing negative signs on both solutions.

Just for completeness. Herewith the correct solution and verification.

 

[Steven G]

For the record, x= log(25)/log(2/5)
x≠3.5129

 

[Deleted member 4993]

For the record, x= log(25)/log(2/5)
x≠3.5129

For the record, x= log(25)/log(2/5) = -3.5129

 

[Steven G]

For the record, x= log(25)/log(2/5) = -3.5129

For the record, x= log(25)/log(2/5) ≠ -3.5129