Mathematics, 02.12.2019 00:31 Uc34758

A7-digit number
12
a
019
b
is divisible by 72. what is
a
×
b
?

Answers

Answer from: jet0120996

Step-by-step explanation:

Because you have to added than reverse the question than it will give you your answer backwards

Answer from: Quest

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

Answer from: Quest

$2^{2x+11}=3^{x-31}$

take the logarithm of both sides (the base of the log doesn't matter):

$\ln2^{2x+11}=\ln3^{x-31}$

apply the exponent property - this says that $\ln a^b=b\ln a$ :

$(2x+11)\ln2=(x-31)\ln3$

distribute the log terms on both sides:

$(2\ln2)x+11\ln2=(\ln3)x-31\ln3$

group like terms together:

$(2\ln2-\ln3)x=-11\ln2-31\ln3$

divide through both sides by the coefficient on $x$ :

$x=-\dfrac{11\ln2+31\ln3}{2\ln2-\ln3}$

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

$x=-\dfrac{\ln2^{11}+\ln3^{31}}{\ln2^2-\ln3}$

$x=-\dfrac{\ln2^{11}3^{31}}{\ln\frac43}$

$x=-\log_{4/3}2^{11}3^{31}$

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A7-digit number
12
a
019
b
is divisible by 72. what is
a
...