For exponential equation: `5^(6x)= 8320` , we may apply the logarithm property:
`log(x^y) = y * log (x).`
This helps to bring down the exponent value.
Taking "log" on both sides:
`log(5^(6x))=log(8320)`
`6x * log (5) = log(8320)`
Divide both sides by log (5) to isolate "6x":
`(6x * log (5)) /(log(5))= (log(8320))/(log(5))`
`6x=(log(8320))/(log(5))`
Multiply both sides by `1/6` to isolate x:
`(1/6)*6x=(log(8320))/(log(5))*(1/6)`
`x =(log(8320))/(6log(5))`
`x=0.935`
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