This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Apply the power rule of logarithms. The equation is given as 3^x = 5. Using the logarithm property a^b = b a, we can rewrite the left side: x 3 = 5 Step 2: Isolate x. To find x, divide both sides by 3: x = ( 5)/( 3) Step 3: Calculate the numerical value of x. Using a calculator for base-10 logarithms: 5 ≈ 0.69897 3 ≈ 0.47712 Now, substitute these values into the equation for x: x = (0.69897)/(0.47712) x ≈ 1.46497 Step 4: Round the answer to two significant figures. The first significant figure is 1, and the second is 4. The digit following the second significant figure is 6, which is 5 or greater, so we round up the second significant figure. x ≈ 1.5 The value of x correct to two significant figures is 1.5. Last free one today — make it count tomorrow, or type /upgrade for unlimited.