Thread: Two Exponential Problems

I don't know how to solve these two problems:

1.)

2.)

Your assistance is much appreciated.

#1: I am going to use fractions instead of decimals.



log of both sides:







Use your log properties.

For #2



Since 9 and 27 are both powers of 3 rewrite them as their prime factorization.

and

Then we get



Using exponent rules we get





since the bases are the same the exponents must be equal so

this equation has no solutions. Therefore this equation has no solutions.