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:
139
Step-by-step explanation:
So we start with PEMDAS. (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.)
Since we don't have parenthesis or exponents, we can go straight to multiplication. 9 multiplied by 14 is 126.
Now we go to addition. 126+1=127
127+12=139
Hope I helped :)
~Sunflower UwU
Answer:
72178.4777
Step-by-step explanation:
Answer:

Step-by-step explanation:
The given equation is :

We need to find the value of x.
When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :

We know that, 4×4= 16 and 5×5 = 25
So,

So, the solution of the given equation is 4/5.