Find the numerical value of the log expression HELP PLS

The value of is 19.

A log function is a way to find how much a number must be raised in order to get the desired number.

can be written as

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.  

log a = 3,

log b = 4,

log c = -1,

log a = 3

lob b = 4,

log c = -1,

Hence, the value of is 19.

19

Step-by-step explanation:

Given:

log a = 3,

log b = 4,

log c = -1

Required:

Numerical value of the log expression

SOLUTION:

To solve this, we need to recall the rules to apply in each step:

Step 1: Apply log of quotients => i.e.

Step 2: Apply log of products. i.e. log ab = log a + log b.

Step 3: Apply log of exponents. i.e. .

Step 4: Substitute log a = 3, log b = 4, log c = -1, into the equation.

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step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.