Please don't give me the answer

But give me an idea how to solve it

\(5^{x+1}=30\), then what is \(5^{3x+1}\)

I had a bogus solution of 1080 that is probably wrong

CalculatorUser Mar 28, 2019

#1**+2 **

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.

Alan Mar 28, 2019

#3**0 **

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

ElectricPavlov Mar 28, 2019