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Exponent Equation

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (16^{x}=1024) and (32^{y}=1024), what is the value of (x+y)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf (3^{a}=81) and (9^{b}=729), what is the value of (a^{b}-b^{a})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf (4^{x}+4^{x+1}+4^{x+2}=336), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf (6^{x+1}-6^{x}=900), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 45Expert MathematicsIf \(\left(5^{x}\right)^{2}\cdot5^{x-2}=3125\), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf (3^{x}+3^{x+1}+3^{x+2}=117), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf (2^{x}\cdot8^{x-2}=64), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf (4^{x+1}-4^{x}=192), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 44Expert MathematicsIf \(\left(3^{x}\right)^{2}\cdot3^{x-1}=729\), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (6^{x}=216) and (36^{y}=216), what is the value of (x+y)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (2^{a}=16) and (4^{b}=64), what is the value of (a^{b}-b^{a})?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (2^{x}+2^{x+1}+2^{x+2}=112), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (3^{x}\cdot9^{x-1}=243), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (5^{x+2}-5^{x}=600), what is the value of (x)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert MathematicsIf (a\neq0) and (\frac{a^{p+4}\cdot a^{2p-1}}{a^{p+5}}=a^{8}), what is the value of (p)?Class 10PolynomialsOperations on real numbers and the laws of exponentsLevel 43Expert