Verified answer

log₃(45) - log₃(x) = 2

log₃(45/x) = 3^2

45/x = 9

45 = 9x

x = 5 answer//

Log 3. 45/x=2

3^2=45/x

9=45/x

X=5

log3(45) - log3(x) = 2

log3 (45/x) = 2 = log3(9)

45/x = 9 => x = 5

x = 5

the familiar equation is, log a + log b = log (ab) so, log3x+log(x+2) = log ( 3x * (x+2) ) = log ( 3x^2 + 6x) hence, log ( 3x^2 + 6x) = a million or, log ( 3x^2 + 6x) = log 10 or, 3x^2 + 6x = 10 or, 3x^2 + 6x - 10 = 0 now, fixing for x, x = the two [ -6 + 2 * sqrt(39) ] / 6 or [ -6 - 2 * sqrt(39) ] / 6 hence, x = -a million + [sqrt(39) ] /3 = a million.082 or x = -a million - [sqrt(39) ] /3 = - 3.081 even nevertheless, x might desire to be greater advantageous than 0 (in any different case log(3x) isn't a valid expression), so x = -3.081 is rejected as a attainable answer. So, x = a million.082

log[3](45) - log[3](x) = 2

log[3](45 / x) = 2

45 / x = 3^2

45 = 9 * x

5 = x