14. solve log 3x – log 13 = 2

1 answer:

Rudiy273 years ago

5 0

Log3x - log13 = 2

This is to base 10, because the base was not specified.

log A - log B = log(A/B) law of logarithm

log(3x/13) = 2

By law of logarithm, conversion from logarithm to indices

(3x/13) = 10²

3x/13 = 100

3x = 100*13

x = 1300/3

x = 1300/3 = 433 1/3

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Factor the greatest common factor: −5k2 20k − 30. −1(5k2 − 20k 30) −5(k2 − 4k 6) −5k(k2 − 4k 6) −5(k2 4k − 6)

Leno4ka [110]

The greatest common factor−5k2 20k − 30 is $-5(k^{2} -4k-6).$

<h3>What is meant by the greatest common factor?</h3>

The most common factor in mathematics is the highest number that may divide evenly into two other numbers.
The largest factor that splits both numbers is the greatest common factor. List the prime factors of each integer before calculating the greatest common factor. One 2 and one 3 are shared by those aged 18 and 24. We multiply them to obtain the GCF. Therefore the GCF for 18 and 24 is 2 * 3 = 6.
The biggest positive integer that divides evenly into all the numbers with no remainder is the greatest common factor (GCF, GCD, or HCF) of a collection of whole numbers.

To find the greatest common factor:

−5k2 20k − 30.

Factor the expression: $5(-k^{2} +4k-6)$