Solve the following equations.
log3(x^2) = 4

x = 0.125

Step-by-step explanation:

Given:

log₃(x²) = 1

Now,

From the properties of log

logₓ (z)=  (where the base of the log is equal for both numerator and the denominator)

also,

log(xⁿ) = n × log(x)

thus,

using the above properties, we can deduce the results as:

logₓ(y) = n is equivalent to y = xⁿ

therefore,

the given equation can be deduced as:

log₃(x²) = 1

or

2log₃(x) = 1

or

log₃(x) = 0.5

into,

x = 0.5³

or

x = 0.125

the answer to question 1 is -8, 28.

step-by-step explanation: