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Shame on you for not being able to do this
1 over log base 7, 5 = log base 5, 7
so 5^log base 5, 7 = 7
-log base 10, 0.1 = log base 10 ,10
which is 1
so overall it's the cube root of (7+1)
= 2
you can rewrite 0.1 as 10^(-1)
and log a^n = nlog a