This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Step 1: Rewrite the base on the left side of the equation so it matches the base on the right side. The equation is given as: (1/4)^x = 2^3x-3 We know that 1/4 can be written as 2^-2. Step 2: Substitute 2^-2 for 1/4 in the equation. (2^-2)^x = 2^3x-3 Step 3: Apply the exponent rule (a^m)^n = a^mn to the left side. 2^-2x = 2^3x-3 Step 4: Since the bases are now the same, equate the exponents. -2x = 3x-3 Step 5: Solve the linear equation for x. Add 2x to both sides of the equation: 0 = 3x + 2x - 3 0 = 5x - 3 Add 3 to both sides: 3 = 5x Divide by 5: x = (3)/(5) The value of x is (3)/(5). x = (3)/(5) Send me the next one 📸