< Previous Bookwork code: 4G Work out the value of r in the equality below. 0.0058=5.8times 10^r (1) Watch video Calculator not allowed Answ ier

The question asks us to find the value of in the equation .Step 1: Understand the EquationThe equation is an exponential equation where we need to find the value of the exponent .Step 2: Isolate the Exponential TermThe exponential term is already isolated on one side of the equation.Step 3: Solve for To find , we can divide both sides of the equation by 5.8: Since the bases are the same, we can equate the exponents: Step 4: Verify the SolutionSubstituting back into the original equation , we get: The equation holds true, confirming that is the correct solution.Therefore, the value of is -3.