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So the first part of this question is regarding your knowledge and understanding on the subject matter. You should know that for real and equal roots, (b² - 4ac)=0. (For real and unequal roots,...

For this we must expand the bracket:5(x+3)= 5x+15and then we rearrange for 'x':x<9

To simplify the expression we use B(rackets)I(nidices)D(ivision)M(ultiplication)A(ddition)S(subtraction) in this specific order.Hence, here the first thing we need to do is identify each element of BIDMAS...

So, to solve these equations, you must choose the variable you want to work with, in this case let's go with y. Make sure that you write out every step of your working so it is easy to follow and minimise...

We start with: 2ln6 - ln3 ... First, we rewrite this expression as: ln6 + ln6 - ln3 ... Next, we rewrite this as: ln(23) + ln(23) - ln3 ... Using the log rule log_axy = log_ax...