if `5^x=7^(x+1)` then x is equal to

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

If 2f(x)-3f(1/x)=x^2(x!=0), then f(2) is equal to (a) -7/4("b")""5/2 (c) -1 (d) none of these

If y=log_(x^(2)+4)(7x^(2)-5x+1) , then (dy)/(dx) is equal to

If a gt 1, x gt 0 and 2^(log_(a)(2x))=5^(log_(a)(5x)) , then x is equal to

" if " |{:(x,,3,,6),(3,,6,,x),(6,,x,,3):}|= |{:(2,,x,,7),(x,,7,,2),(7,,2,,x):}|=|{:(4,,5,,x),(5,,x,,4),(x,,4,,5):}|=0 then x is equal to

If |[x,3, 6],[ 3, 6,x],[6,x,3]|=|[2,x,7],[x,7, 2],[ 7, 2,x]|=|[4, 5,x],[5,x,4],[x,4, 5]|=0, then x is equal to a. 0 b. -9 c. 3 d. none of these

If 3+5x + 7x^2 …., oo term s=44/9 , then x is equal to:

If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b) 4/3 (c) 13 (d) (13)/7

If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b) 4/3 (c) 13 (d) (13)/7

"If "y=(root(3)(1+3x)root(4)(1+4x)root(5)(1+5x))/(root(7)(1+7x)root(8)(1+8x)), then y'(0) is equal to -