Moderate -0.3 This is a straightforward exponential equation requiring factorization of 4^x terms and basic logarithm application. While it needs algebraic manipulation (factoring out 4^x and dividing by 4^2), it's a standard technique taught in P3 with no conceptual difficulty or novel insight required, making it slightly easier than average.
Use laws of indices correctly and solve for \(4^x\)
M1
Obtain correct solution in any form, e.g. \(4^x = \frac{256}{15}\)
A1
Use a correct method for solving an equation of the form \(4^x = a\), where \(a > 0\)
M1
Obtain answer \(2.047\)
A1
## Question 3:
| Answer | Mark | Guidance |
|--------|------|----------|
| Use laws of indices correctly and solve for $4^x$ | M1 | |
| Obtain correct solution in any form, e.g. $4^x = \frac{256}{15}$ | A1 | |
| Use a correct method for solving an equation of the form $4^x = a$, where $a > 0$ | M1 | |
| Obtain answer $2.047$ | A1 | |
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