maths

in each of the following, express x in terms of y
a) 1/4logx3=1+log5y

(1/4) log x3 = 1 + log5y

log x3 = 4(1 + log5y)

3 log x = 4(1 + log5y) 【As log ab = b log a】

log x = 4(1 + log5y)/3

log x = 4(log 10 + log5y)/3

log x = 4[log(10*5y)]/3 【As log (ab) = log a + log b】

log x = (4/3) log (50y)

log x = log (50y)4/3 【As log ab = b log a】

x = (50y)4/3

OR x = 504/3 y4/3

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b) log(3x-4y)=2

log(3x-4y) = 2

log(3x-4y) = log(10²)

3x - 4y = 10²

3x - 4y = 100

3x = 100 + 4y

x = (100 + 4y)/3

a) 1/4logx^3=1+log5y
3/4logx=log10+log5y----------------------------loga^b=b *loga
3/4logx=log50y----------------------------------loga+logb=logab
logx=4/3(log50y)
logx=log(50y)^4/3-------------------------b *loga=loga^b
x=(50y)^4/3
x=50^4/3 y^4/3

b)log(3x-4y)=2
3x-4y=10^2
3x-4y=100
3x=100+4y
x=(100+4y)/3