Question

Ayo so like i'm doing logarithms and i need help how do you solve 3(5)^x=192 for the variable thanks

Answer 1

Exact Form:

x = ln ( 64 )/ ln ( 5 )

Decimal Form:

x = 2.58405934 …

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer 2

Explanation:

Start by dividing both sides by 3

5^x = 192/3

5^x = 64

Now take the log of both sides

log(5^x) = log(64)

Bring down the power

x log(5) = log(64)

Find the logs

x * 0.69897 = 1.8062

Divide

x = 1.8062 / 0.69897

x = 2.5841