Exponential algebra problem: Equating powers

Question

Given Data:

5 ^a = 26
125 ^b = 676

What is the relation between a and b?

I simplified 125 ^b = 5 ⁴ + 5 ^a

but how to equate a and b in above relation?

Note: Answer should be in the format xa = yb +/- z where x,y & z are real numbers greater than or equal to 0

Answer 1

Note that $$5^3=125$$ so $$5^{3b}=676$$ Also, $$26^2=676$$ So $$(5^a)^2=676=5^{2a}$$ Using this, we get $$5^{2a}=5^{3b}$$ From here, it's algebra.