The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
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Answer:
(-5, -8)
Step-by-step explanation:
I Tired To Explain It As Best As I Could.
Isolate the variable by dividing each side by factors that don’t contain the variable.
24 = x • 30
Use The Commutative Property To Reorder The Terms
24 = 30x
Swap The Sides Of The Equations
30x = 24
Divide Both Sides Of The Equations By 30
30x ÷ 30 = 24 ÷ 30
Any Expression Divided By Itself Equals 1
x= 24 ÷ 30 or x =24/30
Reduce The Fraction With 6
x = 4/5
Exact Form:
x = 4/5
Decimal Form:
x = 0.8
