Simple Exponent Problem

5^x+1 can be written as 5^x*5, so if this equals 30, you can find what 5^x equals.

5^3x+1 can be written as 5^3x*5, which can be written as (5^x)³*5, so once you know what 5^x is you just cube it and multiply by 5.

Ok, thank you! My answer of 1080 is right and I understand.

You could also use the log function if you are familiar with that:

5^x+1 =30

log(5^x+1)=log30

x+1 = log30/log5

x+1 = 2.113282752559378-1 = 1.113282752559378

Then  5^3x+1 = 5^4.339848257678134 = 1079.999999999998196774=~~1080

Yex, \(5^{x+1}=5^x*5^1=30 \longrightarrow 5^x=6.\) Breaking. \(5^{3x+1}=5^{3x}*5^1, (5^x)^3*5^1=(6)^3*5=\boxed{1080}.\)