Question

Evaluate :

$(1) \: [ \: ( \frac{ {6}^{2}( {6}^{7} - {6}^{8} }{ {6}^{6} } ] \\ \\ (2) \: \frac{729}{64} \times ( \frac{2}{3} )^{3} \times (\frac{ - 2}{3} ^{4} ) \times ( - 1)^{21} \\ \\ (3) \: find \: \: the \: \: value \: \: of \: \: m \: \: if \: \: {5}^{m - 3} \times {3}^{2m - 8} = 225 \\ \\ (4)find \: \: the \: \: value \: of \: x \: \: if \: [ {4}^{2x} + 10 ] \div 2 = 37$

Please solve fast argent due to prepartion of exam kindly dont spam need only quality answer!​

Answer 1

unless you have a typo and meant:

f(x) = 10,125(1.83)^x

the second is

exponential and can be written as

g(r) = 9,638(1.95)^r

clearly g(r) has a higher percentage change since 1.95 > 1.83

a more interesting question might have been: When will the amount be the same?

10,125(1.83)^x = 9,638(1.95)^x

10,125(1.83)^x = 9,638(1.95)^x

(1.83)^x = .951901...(1.95)^x

take log of both sides and use log rules

xlog1.83 = log .951901... + xlog 1.95

x(log 1.83 - log 1.95) = log .951901...

x = .776..

check:

f(.776..) = 10,125(1.83)^.776.. = 1618410

g(.776..) = 9,638(1.95)^.776... = 16184.10

Answer 2

Answer:

this is your answer hope it helps you