Moderate -0.8 This is a straightforward exponential equation requiring a standard technique: take logarithms of both sides, apply log laws to bring down the exponents, then solve the resulting linear equation. It's a routine textbook exercise with a single clear method and no conceptual challenges, making it easier than average but not trivial since it requires correct application of logarithm properties.
Use law for the logarithm of a product, a quotient or a power | M1* |
Obtain $(x + 1)\log 4 = (2x - 3)\log 5$, or equivalent | A1 |
Solve for $x$ | M1(dep*) |
Obtain answer $x = 3.39$ | A1 | [4] |