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3 years ago

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

Mathematics

2 answers:

Leviafan [203]3 years ago

6 0

Answer:

Exact Form:

x = ln ( 64 )/ ln ( 5 )

Decimal Form:

x = 2.58405934 …

Step-by-step explanation:

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

otez555 [7]3 years ago

6 0

Answer:

Step-by-step 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

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Step-by-step explanation:

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