Find x, if (i) (14)−4×(14)−8=(14)−4x (ii) (−12)−

1.	Find x, if (i) (14)−4×(14)−8=(14)−4x (ii) (−12)−19÷(−12)8=(−12)−2x+1(iii) (32)−3÷(32)5=(32)2x+1 (iv)(25)−3×(25)15=(25)2+3x(v) (54)−x÷(54)−4=(54)5 (vi) (83)2x+1×(83)5=(83)x+2
Answer» Find x, if $(i) {(\frac{1}{4})}^{- 4} \times {(\frac{1}{4})}^{- 8} = {(\frac{1}{4})}^{- 4 x} (i i) {(\frac{- 1}{2})}^{- 19} \div {(\frac{- 1}{2})}^{8} = {(\frac{- 1}{2})}^{- 2 x + 1} (i i i) {(\frac{3}{2})}^{- 3} \div {(\frac{3}{2})}^{5} = {(\frac{3}{2})}^{2 x + 1} (i v) {(\frac{2}{5})}^{- 3} \times {(\frac{2}{5})}^{15} = {(\frac{2}{5})}^{2 + 3 x} (v) {(\frac{5}{4})}^{- x} \div {(\frac{5}{4})}^{- 4} = {(\frac{5}{4})}^{5} (v i) {(\frac{8}{3})}^{2 x + 1} \times {(\frac{8}{3})}^{5} = {(\frac{8}{3})}^{x + 2}$

Find x, if (i) (14)−4×(14)−8=(14)−4x (ii) (−12)−19÷(−12)8=(−12)−2x+1(iii) (32)−3÷(32)5=(32)2x+1 (iv)(25)−3×(25)15=(25)2+3x(v) (54)−x÷(54)−4=(54)5 (vi) (83)2x+1×(83)5=(83)x+2

Answer»

Find x, if

$(i) {(\frac{1}{4})}^{- 4} \times {(\frac{1}{4})}^{- 8} = {(\frac{1}{4})}^{- 4 x} (i i) {(\frac{- 1}{2})}^{- 19} \div {(\frac{- 1}{2})}^{8} = {(\frac{- 1}{2})}^{- 2 x + 1} (i i i) {(\frac{3}{2})}^{- 3} \div {(\frac{3}{2})}^{5} = {(\frac{3}{2})}^{2 x + 1} (i v) {(\frac{2}{5})}^{- 3} \times {(\frac{2}{5})}^{15} = {(\frac{2}{5})}^{2 + 3 x} (v) {(\frac{5}{4})}^{- x} \div {(\frac{5}{4})}^{- 4} = {(\frac{5}{4})}^{5} (v i) {(\frac{8}{3})}^{2 x + 1} \times {(\frac{8}{3})}^{5} = {(\frac{8}{3})}^{x + 2}$

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